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Identification

Personal identification

Full name
Vyacheslav Futorny

Citation names

  • Futorny, Vyacheslav

Author identifiers

Ciência ID
5C1B-7BC6-55A0
ORCID iD
0000-0002-4701-8879
Education
Degree Classification
1983/09/01 - 1987/01/06
Concluded
 Mathematics (Postgraduate Certificate)
Kiivs'kij nacional'nij universitet imeni Tarasa Sevcenka, Ukraine
1978/09/01 - 1983/07/01
Concluded
 Mathematics (Diplôme d´études supérieures)
Kiivs'kij nacional'nij universitet imeni Tarasa Sevcenka, Ukraine
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2023/02/01 - Current Full Professor (University Teacher) Southern University of Science and Technology, China
1998/05/06 - 2024/05/31 Full Professor (University Teacher) Universidade de São Paulo Instituto de Matemática e Estatística, Brazil
Outputs

Publications

Book
  1. Futorny, V.; Kashuba, I.. Generalized loop modules for affine Kac–Moody algebras. 2014.
    10.1007/978-3-319-09804-3__8
  2. Cox, B.; Futorny, V.; Martins, R.A.. Free field realizations of the date-jimbo-kashiwara-miwa algebra. 2014.
    10.1007/978-3-319-09804-3__5
Journal article
  1. Juan Camilo Arias; Vyacheslav Futorny; Kailash Misra. "Crystal bases for reduced imaginary Verma modules of untwisted quantum affine algebras". Journal of Algebra (2024): http://dx.doi.org/10.1016/j.jalgebra.2023.09.007.
    10.1016/j.jalgebra.2023.09.007
  2. Vyacheslav Futorny; Samuel A. Lopes; Eduardo M. Mendonça. "Representations of Smith algebras which are free over the Cartan subalgebra". Journal of Algebra (2024): http://dx.doi.org/10.1016/j.jalgebra.2023.11.030.
    10.1016/j.jalgebra.2023.11.030
  3. Wolfgang Bock; Vyacheslav Futorny; Mikhail Neklyudov. "A Jordan-Schwinger variant of the spectral theorem for linear operators". Journal of Mathematical Analysis and Applications (2024): http://dx.doi.org/10.1016/j.jmaa.2023.127808.
    10.1016/j.jmaa.2023.127808
  4. Vyacheslav Futorny; Libor Križka. "Twisting functors and Gelfand–Tsetlin modules over semisimple Lie algebras". Communications in Contemporary Mathematics (2023): http://dx.doi.org/10.1142/s0219199722500316.
    10.1142/s0219199722500316
  5. Vyacheslav Futorny; Oscar Morales; Libor Križka. "Admissible representations of simple affine vertex algebras". Journal of Algebra (2023): http://dx.doi.org/10.1016/j.jalgebra.2023.03.010.
    10.1016/j.jalgebra.2023.03.010
  6. Maria Clara Cardoso; Vyacheslav Futorny. "Affine Lie algebra representations induced from Whittaker modules". Proceedings of the American Mathematical Society (2022): http://dx.doi.org/10.1090/proc/16209.
    10.1090/proc/16209
  7. Luan Bezerra; Lucas Calixto; Vyacheslav Futorny; Iryna Kashuba. "Representations of affine Lie superalgebras and their quantization in type A". Journal of Algebra (2022): http://dx.doi.org/10.1016/j.jalgebra.2022.08.012.
    10.1016/j.jalgebra.2022.08.012
  8. Wolfgang Bock; Vyacheslav Futorny; Mikhail Neklyudov. "A Poisson algebra on the Hida Test functions and a quantization using the Cuntz algebra". Letters in Mathematical Physics (2022): http://dx.doi.org/10.1007/s11005-022-01507-4.
    10.1007/s11005-022-01507-4
  9. "Classification of simple Gelfand–Tsetlin modules of ¿¿(3)". Bulletin of Mathematical Sciences 11 03 (2021): http://dx.doi.org/10.1142/s1664360721300012.
    10.1142/s1664360721300012
  10. "LD-stability for Goldie rings". Journal of Pure and Applied Algebra 225 11 (2021): 106741-106741. http://dx.doi.org/10.1016/j.jpaa.2021.106741.
    10.1016/j.jpaa.2021.106741
  11. "NON-STANDARD VERMA TYPE MODULES FOR ¿(n)(2)". Transformation Groups 26 3 (2021): 809-825. http://dx.doi.org/10.1007/s00031-020-09550-y.
    10.1007/s00031-020-09550-y
  12. "Simple Modules for Affine Vertex Algebras in the Minimal Nilpotent Orbit". International Mathematics Research Notices (2021): http://dx.doi.org/10.1093/imrn/rnab159.
    10.1093/imrn/rnab159
  13. "Representations of Lie algebras". São Paulo Journal of Mathematical Sciences (2021): http://dx.doi.org/10.1007/s40863-021-00245-0.
    10.1007/s40863-021-00245-0
  14. "Holonomic modules for rings of invariant differential operators". International Journal of Algebra and Computation 31 04 (2021): 605-622. http://dx.doi.org/10.1142/s0218196721500296.
    10.1142/s0218196721500296
  15. "Positive Energy Representations of Affine Vertex Algebras". Communications in Mathematical Physics 383 2 (2021): 841-891. http://dx.doi.org/10.1007/s00220-020-03861-7.
    10.1007/s00220-020-03861-7
  16. "Perturbation theory of matrix pencils through miniversal deformations". Linear Algebra and its Applications 614 (2021): 455-499. http://dx.doi.org/10.1016/j.laa.2020.12.009.
    10.1016/j.laa.2020.12.009
  17. "Pairs of commuting nilpotent operators with one-dimensional intersection of kernels and matrices commuting with a Weyr matrix". Linear Algebra and its Applications 612 (2021): 188-205. http://dx.doi.org/10.1016/j.laa.2020.10.040.
    10.1016/j.laa.2020.10.040
  18. "Convex topological algebras via linear vector fields and Cuntz algebras". Journal of Pure and Applied Algebra (2021): http://dx.doi.org/10.1016/j.jpaa.2020.106535.
    10.1016/j.jpaa.2020.106535
  19. Abdullah Alazemi; Milica Andelic; Carlos M. da Fonseca; Vyacheslav Futorny; Vladimir Sergeichuk. "Three Representation Types for Systems of Forms and Linear Maps". Mathematics (2021): https://www.mdpi.com/2227-7390/9/5/455.
    10.3390/math9050455
  20. "Congruence of matrix spaces, matrix tuples, and multilinear maps". Linear Algebra and its Applications 609 (2021): 317-331. http://dx.doi.org/10.1016/j.laa.2020.09.018.
    10.1016/j.laa.2020.09.018
  21. "Gelfand-Tsetlin theory for rational Galois algebras". Israel Journal of Mathematics 239 1 (2020): 99-128. http://dx.doi.org/10.1007/s11856-020-2048-2.
    10.1007/s11856-020-2048-2
  22. "Noncommutative Noether’s problem vs classic Noether’s problem". Mathematische Zeitschrift 295 3-4 (2020): 1323-1335. http://dx.doi.org/10.1007/s00209-019-02397-4.
    10.1007/s00209-019-02397-4
  23. "Bounds of Gelfand-Tsetlin multiplicities and tableaux realizations of Verma modules". Journal of Algebra (2020): http://dx.doi.org/10.1016/j.jalgebra.2020.02.032.
    10.1016/j.jalgebra.2020.02.032
  24. "Highest weight modules for affine Lie superalgebras". Revista Matemática Iberoamericana 37 1 (2020): 129-160. http://dx.doi.org/10.4171/rmi/1203.
    10.4171/rmi/1203
  25. "Gelfand-Tsetlin representations of finite W-algebras". Journal of Pure and Applied Algebra (2020): http://dx.doi.org/10.1016/j.jpaa.2019.106226.
    10.1016/j.jpaa.2019.106226
  26. "Isometric and selfadjoint operators on a vector space with nondegenerate diagonalizable form". Linear Algebra and its Applications (2020): http://dx.doi.org/10.1016/j.laa.2019.11.004.
    10.1016/j.laa.2019.11.004
  27. "Algebras of invariant differential operators". Journal of Algebra (2020): http://dx.doi.org/10.1016/j.jalgebra.2019.09.014.
    10.1016/j.jalgebra.2019.09.014
  28. "Weight modules of quantum Weyl algebras". Mathematical Research Letters 27 6 (2020): 1707-1753. http://dx.doi.org/10.4310/mrl.2020.v27.n6.a6.
    10.4310/mrl.2020.v27.n6.a6
  29. "Quantum linear Galois orders". Communications in Algebra (2019): http://dx.doi.org/10.1080/00927872.2019.1623236.
    10.1080/00927872.2019.1623236
  30. "Stable representations of posets". Journal of Pure and Applied Algebra (2019): http://dx.doi.org/10.1016/j.jpaa.2019.03.020.
    10.1016/j.jpaa.2019.03.020
  31. "Geometric construction of Gelfand–Tsetlin modules over simple Lie algebras". Journal of Pure and Applied Algebra (2019): http://dx.doi.org/10.1016/j.jpaa.2019.02.021.
    10.1016/j.jpaa.2019.02.021
  32. "Rings of invariants of finite groups when the bad primes exist". Communications in Algebra (2019): http://dx.doi.org/10.1080/00927872.2019.1579336.
    10.1080/00927872.2019.1579336
  33. "Representations of Lie algebras of vector fields on affine varieties". Israel Journal of Mathematics (2019): http://dx.doi.org/10.1007/s11856-019-1909-z.
    10.1007/s11856-019-1909-z
  34. "Quantum Howe duality and invariant polynomials". Journal of Algebra (2019): http://dx.doi.org/10.1016/j.jalgebra.2019.04.014.
    10.1016/j.jalgebra.2019.04.014
  35. "Explicit construction of irreducible modules for $$U_q(\mathfrak {gl}_n)$$ U q (". São Paulo Journal of Mathematical Sciences (2019): http://dx.doi.org/10.1007/s40863-019-00123-w.
    10.1007/s40863-019-00123-w
  36. "De Concini–Kac filtration and Gelfand–Tsetlin generators for quantum glN". Linear Algebra and Application (2019): http://dx.doi.org/10.1016/j.laa.2018.08.011.
    10.1016/j.laa.2018.08.011
  37. "Wildness for tensors". Linear Algebra and Applications (2019): http://dx.doi.org/10.1016/j.laa.2018.12.022.
    10.1016/j.laa.2018.12.022
  38. "Generalized Verma Modules over U q ( ¿ ¿". Algebras and Representation Theory (2019): http://dx.doi.org/10.1007/s10468-019-09878-4.
    10.1007/s10468-019-09878-4
  39. "Geometric realizations of affine Kac–Moody algebras". Journal of Algebra (2019): http://dx.doi.org/10.1016/j.jalgebra.2019.03.011.
    10.1016/j.jalgebra.2019.03.011
  40. "Combinatorial construction of Gelfand–Tsetlin modules for gln". Advances in Mathematics (2019): http://dx.doi.org/10.1016/j.aim.2018.11.027.
    10.1016/j.aim.2018.11.027
  41. "On self-similar Lie algebras and virtual endomorphisms". MATHEMATISCHE ZEITSCHRIFT (2018): http://dx.doi.org/10.1007/s00209-018-2146-6.
    10.1007/s00209-018-2146-6
  42. "Irreducible subquotients of generic Gelfand–Tsetlin modules over Uq(gln)". Journal of Pure and Applied Algebra (2018): http://dx.doi.org/10.1016/j.jpaa.2017.11.018.
    10.1016/j.jpaa.2017.11.018
  43. "New families of irreducible weight modules oversl3". Journal of Algebra (2018): http://dx.doi.org/10.1016/j.jalgebra.2017.12.029.
    10.1016/j.jalgebra.2017.12.029
  44. "Gelfand-Tsetlin modules of quantum gl(n) defined by admissible sets of relations". Journal of Algebra (2018):
    10.1016/j.jalgebra.2017.12.006
  45. "Indecomposable generalized weight modules over the algebra of polynomial integro-differential operators". Proceedings of American Mathematical Society (2018):
    10.1090/proc/13985
  46. "Lie algebras of vector fields on smooth affine varieties". Communications in Algebra (2018):
    10.1080/00927872.2017.1412456
  47. "Structure of parabolically induced modules for affine Kac-Moody algebras". Journal of Algebra (2018):
    10.1016/j.jalgebra.2017.03.007
  48. Futorny, V.; Klymchuk, T.; Petravchuk, A.P.; Sergeichuk, V.V.. "Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras". Linear Algebra and Its Applications 536 (2018): 201-209. http://www.scopus.com/inward/record.url?eid=2-s2.0-85029706815&partnerID=MN8TOARS.
    10.1016/j.laa.2017.09.019
  49. Dmytryshyn, A.; Futorny, V.; Klymchuk, T.; Sergeichuk, V.V.. "Generalization of Roth's solvability criteria to systems of matrix equations". Linear Algebra and Its Applications 527 (2017): 294-302. http://www.scopus.com/inward/record.url?eid=2-s2.0-85017553149&partnerID=MN8TOARS.
    10.1016/j.laa.2017.04.011
  50. Arakawa, T.; Futorny, V.; Ramirez, L.E.. "Weight Representations of Admissible Affine Vertex Algebras". Communications in Mathematical Physics 353 3 (2017): 1151-1178. http://www.scopus.com/inward/record.url?eid=2-s2.0-85017129334&partnerID=MN8TOARS.
    10.1007/s00220-017-2872-3
  51. "Noncommutative Noether's problem for complex reflection groups". Proceedings of the American Mathematical Society (2017):
    10.1090/proc/13646
  52. "Classification of simple cuspidal modules for solenoidal Lie algebras". ISRAEL JOURNAL OF MATHEMATICS (2017):
    10.1007/s11856-017-1584-x
  53. Futorny, V.; Schwarz, J.. "Galois orders of symmetric differential operators". Algebra and Discrete Mathematics 23 1 (2017): 35-46. http://www.scopus.com/inward/record.url?eid=2-s2.0-85017322682&partnerID=MN8TOARS.
  54. Artamonov, V.; Artemovych, O.; Bahturin, Y.; Banakh, T.; Bartholdi, L.; Bezushchak, O.; Bondarenko, I.; et al. "Vitaliy sushchansky". Algebra and Discrete Mathematics 23 2 (2017): http://www.scopus.com/inward/record.url?eid=2-s2.0-85021810317&partnerID=MN8TOARS.
  55. Futorny, V.; Horn, R.A.; Sergeichuk, V.V.. "Specht's criterion for systems of linear mappings". Linear Algebra and Its Applications 519 (2017): 278-295. http://www.scopus.com/inward/record.url?eid=2-s2.0-85009373070&partnerID=MN8TOARS.
    10.1016/j.laa.2017.01.006
  56. Futorny, V.; Grantcharov, D.; Ramirez, L.E.. "New Singular Gelfand–Tsetlin gl(n) -Modules of Index 2". Communications in Mathematical Physics 355 3 (2017): 1209-1241. http://www.scopus.com/inward/record.url?eid=2-s2.0-85026778571&partnerID=MN8TOARS.
    10.1007/s00220-017-2967-x
  57. da Fonseca, C.M.; Futorny, V.; Rybalkina, T.; Sergeichuk, V.V.. "Topological classification of systems of bilinear and sesquilinear forms". Linear Algebra and Its Applications 515 (2017): 1-5. http://www.scopus.com/inward/record.url?eid=2-s2.0-84996538087&partnerID=MN8TOARS.
    10.1016/j.laa.2016.11.012
  58. Cox, B.; Futorny, V.; Misra, K.C.. "Imaginary Verma modules for Uq(sl(2)ˆ) and crystal-like bases". Journal of Algebra 481 (2017): 12-35. http://www.scopus.com/inward/record.url?eid=2-s2.0-85014940763&partnerID=MN8TOARS.
    10.1016/j.jalgebra.2017.02.017
  59. Futorny, V.; Grantcharov, D.; Ramirez, L.E.. "Singular Gelfand-Tsetlin modules of gl(n)". Advances in Mathematics 290 (2016): 453-482. http://www.scopus.com/inward/record.url?eid=2-s2.0-84952002424&partnerID=MN8TOARS.
    10.1016/j.aim.2015.12.001
  60. Futorny, V.; Klymchuk, T.; Sergeichuk, V.V.. "Roth's solvability criteria for the matrix equations AX-XˆB=C and X-AXˆB=C over the skew field of quaternions with an involutive automorphism q¿qˆ". Linear Algebra and Its Applications 510 (2016): 246-258. http://www.scopus.com/inward/record.url?eid=2-s2.0-84984856761&partnerID=MN8TOARS.
    10.1016/j.laa.2016.08.022
  61. Rao, S.E.; Futorny, V.; Sharma, S.S.. "Weyl Modules Associated to Kac–Moody Lie Algebras". Communications in Algebra 44 12 (2016): 5045-5057. http://www.scopus.com/inward/record.url?eid=2-s2.0-84978962308&partnerID=MN8TOARS.
    10.1080/00927872.2015.1130143
  62. Futorny, V.; Iyer, U.N.. "Representations of D q(k[x])". Israel Journal of Mathematics 212 1 (2016): 473-506. http://www.scopus.com/inward/record.url?eid=2-s2.0-84971221563&partnerID=MN8TOARS.
    10.1007/s11856-016-1305-x
  63. Cox, B.; Futorny, V.; Misra, K.C.. "Imaginary Verma modules and Kashiwara algebras for Uq(g)". Journal of Algebra 424 (2015): 390-415. http://www.scopus.com/inward/record.url?eid=2-s2.0-84919782275&partnerID=MN8TOARS.
    10.1016/j.jalgebra.2014.09.025
  64. Futorny, V.; Grantcharov, D.; Martins, R.A.. "Localization of Free Field Realizations of Affine Lie Algebras". Letters in Mathematical Physics 105 4 (2015): 483-502. http://www.scopus.com/inward/record.url?eid=2-s2.0-84925513800&partnerID=MN8TOARS.
    10.1007/s11005-015-0752-3
  65. Futorny, V.; Hartwig, J.T.; Wilson, E.A.. "Quantum affine modules for non-twisted affine Kac-Moody algebras". Proceedings of the American Mathematical Society 143 12 (2015): 5159-5171. http://www.scopus.com/inward/record.url?eid=2-s2.0-84944247221&partnerID=MN8TOARS.
    10.1090/proc/12663
  66. Futorny, V.; Hartwig, J.; Wilson, E.. "Irreducible completely pointed modules of quantum groups of type A". Journal of Algebra 432 (2015): 252-279. http://www.scopus.com/inward/record.url?eid=2-s2.0-84925611110&partnerID=MN8TOARS.
    10.1016/j.jalgebra.2015.03.006
  67. Cox, B.; Futorny, V.; Misra, K.C.. "An imaginary PBW basis for quantum affine algebras of type 1". Journal of Pure and Applied Algebra 219 1 (2015): 83-100. http://www.scopus.com/inward/record.url?eid=2-s2.0-84905590472&partnerID=MN8TOARS.
    10.1016/j.jpaa.2014.04.011
  68. Futorny, V.; Molev, A.. "Quantization of the shift of argument subalgebras in type A". Advances in Mathematics 285 (2015): 1358-1375. http://www.scopus.com/inward/record.url?eid=2-s2.0-84941144597&partnerID=MN8TOARS.
    10.1016/j.aim.2015.07.038
  69. Futorny, V.; Grantcharov, D.; Ramirez, L.E.. "Irreducible generic Gelfand-Tsetlin modules of gl(n)". Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 11 (2015): http://www.scopus.com/inward/record.url?eid=2-s2.0-84924126222&partnerID=MN8TOARS.
    10.3842/SIGMA.2015.018
  70. Dmytryshyn, A.; Futorny, V.; Kågströma, B.; Klimenko, L.; Sergeichuk, V.V.. "Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence". Linear Algebra and Its Applications 469 (2015): 305-334. http://www.scopus.com/inward/record.url?eid=2-s2.0-84919935890&partnerID=MN8TOARS.
    10.1016/j.laa.2014.11.004
  71. Futorny, V.; Rybalkina, T.; Sergeichuk, V.V.. "Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings". Linear Algebra and Its Applications 450 (2014): 121-137. http://www.scopus.com/inward/record.url?eid=2-s2.0-84897908331&partnerID=MN8TOARS.
    10.1016/j.laa.2014.03.002
  72. Dmytryshyn, A.; Futorny, V.; Sergeichuk, V.V.. "Miniversal deformations of matrices under*congruence and reducing transformations". Linear Algebra and Its Applications 446 (2014): 388-420. http://www.scopus.com/inward/record.url?eid=2-s2.0-84894271676&partnerID=MN8TOARS.
    10.1016/j.laa.2014.01.016
  73. Futorny, V.; Klimenko, L.; Sergeichuk, V.V.. "Change of the *congruence canonical form of 2-by-2 matrices under perturbations". Electronic Journal of Linear Algebra 27 (2014): 146-154. http://www.scopus.com/inward/record.url?eid=2-s2.0-84897585930&partnerID=MN8TOARS.
  74. Billig, Y.; Futorny, V.. "Representations of the lie algebra of vector fields on a torus and the chiral de Rham complex". Transactions of the American Mathematical Society 366 9 (2014): 4697-4731. http://www.scopus.com/inward/record.url?eid=2-s2.0-84929515891&partnerID=MN8TOARS.
  75. Futorny, V.; Grantcharov, D.; Mazorchuk, V.. "Weight modules over infinite dimensional weyl algebras". Proceedings of the American Mathematical Society 142 9 (2014): 3049-3057. http://www.scopus.com/inward/record.url?eid=2-s2.0-84921653414&partnerID=MN8TOARS.
  76. Futorny, V.; Ovsienko, S.. "Fibers of characters in Gelfand-Tsetlin categories". Transactions of the American Mathematical Society 366 8 (2014): 4173-4208. http://www.scopus.com/inward/record.url?eid=2-s2.0-84908589120&partnerID=MN8TOARS.
  77. Futorny, V.; Marko, F.. "Derived Representation Type of Schur Superalgebras". Communications in Algebra 42 8 (2014): 3381-3385. http://www.scopus.com/inward/record.url?eid=2-s2.0-84898756297&partnerID=MN8TOARS.
    10.1080/00927872.2013.783043
  78. Futorny, V.; Hartwig, J.T.. "Solution of a q-difference Noether problem and the quantum Gelfand-Kirillov conjecture for glN". Mathematische Zeitschrift 276 1-2 (2014): 1-37. http://www.scopus.com/inward/record.url?eid=2-s2.0-84892522824&partnerID=MN8TOARS.
    10.1007/s00209-013-1184-3
  79. Bressler, P.; Futorny, V.. "Chiral anomaly via vertex algebroids". Quarterly Journal of Mathematics 65 2 (2014): 581-596. http://www.scopus.com/inward/record.url?eid=2-s2.0-84903544669&partnerID=MN8TOARS.
    10.1093/qmath/hat036
  80. Billig, Y.; Futorny, V.. "Classification of irreducible representations of Lie algebra of vector fields on a torus". Journal fur die Reine und Angewandte Mathematik 2014 (2014): http://www.scopus.com/inward/record.url?eid=2-s2.0-84990036977&partnerID=MN8TOARS.
    10.1515/crelle-2014-0059
  81. De Oliveira, D.D.; Futorny, V.; Klimchuk, T.; Kovalenko, D.; Sergeichuk, V.V.. "Cycles of linear and semilinear mappings". Linear Algebra and Its Applications 438 8 (2013): 3442-3453. http://www.scopus.com/inward/record.url?eid=2-s2.0-84875466219&partnerID=MN8TOARS.
    10.1016/j.laa.2012.12.023
  82. Bekkert, V.; Benkart, G.; Futorny, V.; Kashuba, I.. "New irreducible modules for Heisenberg and affine Lie algebras". Journal of Algebra 373 (2013): 284-298. http://www.scopus.com/inward/record.url?eid=2-s2.0-84868159736&partnerID=MN8TOARS.
    10.1016/j.jalgebra.2012.09.035
  83. Bondarenko, V.M.; Futorny, V.; Klimchuk, T.; Sergeichuk, V.V.; Yusenko, K.. "Systems of subspaces of a unitary space". Linear Algebra and Its Applications 438 5 (2013): 2561-2573. http://www.scopus.com/inward/record.url?eid=2-s2.0-84872105962&partnerID=MN8TOARS.
    10.1016/j.laa.2012.10.038
  84. Cox, B.; Futorny, V.; Tirao, J.A.. "DJKM algebras and non-classical orthogonal polynomials". Journal of Differential Equations 255 9 (2013): 2846-2870. http://www.scopus.com/inward/record.url?eid=2-s2.0-84881662431&partnerID=MN8TOARS.
    10.1016/j.jde.2013.07.020
  85. Bekkert, V.; Drozd, Y.; Futorny, V.. "Tilting, deformations and representations of linear groups over Euclidean algebras". Journal of Pure and Applied Algebra 217 6 (2013): 1141-1152. http://www.scopus.com/inward/record.url?eid=2-s2.0-84872675253&partnerID=MN8TOARS.
    10.1016/j.jpaa.2012.09.031
  86. Rao, S.E.; Futorny, V.. "Representations of Loop Kac-Moody Lie Algebras". Communications in Algebra 41 10 (2013): 3775-3792. http://www.scopus.com/inward/record.url?eid=2-s2.0-84880959857&partnerID=MN8TOARS.
    10.1080/00927872.2012.677891
  87. Futorny, V.; Hartwig, J.T.. "On the consistency of twisted generalized Weyl algebras". Proceedings of the American Mathematical Society 140 10 (2012): 3349-3363. http://www.scopus.com/inward/record.url?eid=2-s2.0-84862844504&partnerID=MN8TOARS.
    10.1090/S0002-9939-2012-11184-0
  88. Futorny, V.; Hartwig, J.T.. "Multiparameter twisted Weyl algebras". Journal of Algebra 357 (2012): 69-93. http://www.scopus.com/inward/record.url?eid=2-s2.0-84857496755&partnerID=MN8TOARS.
    10.1016/j.jalgebra.2011.11.004
  89. Dmytryshyn, A.R.; Futorny, V.; Sergeichuk, V.V.. "Miniversal deformations of matrices of bilinear forms". Linear Algebra and Its Applications 436 7 (2012): 2670-2700. http://www.scopus.com/inward/record.url?eid=2-s2.0-84857115692&partnerID=MN8TOARS.
    10.1016/j.laa.2011.11.010
  90. Cox, B.L.; Futorny, V.; Martins, R.A.. "Virasoro Action on Imaginary Verma Modules and the Operator Form of the KZ-Equation". Letters in Mathematical Physics 102 2 (2012): 125-148. http://www.scopus.com/inward/record.url?eid=2-s2.0-84867746460&partnerID=MN8TOARS.
    10.1007/s11005-012-0580-7
  91. Futorny, V.; Samoilenko, Y.; Yusenko, K.. "Representations of posets: Linear versus unitary". Journal of Physics: Conference Series 346 1 (2012): http://www.scopus.com/inward/record.url?eid=2-s2.0-84858196771&partnerID=MN8TOARS.
    10.1088/1742-6596/346/1/012006
  92. Davydov, A.; Futorny, V.. "Commutative algebras in Drinfeld categories of abelian Lie algebras". Proceedings of the Edinburgh Mathematical Society 55 3 (2012): 613-633. http://www.scopus.com/inward/record.url?eid=2-s2.0-84872075319&partnerID=MN8TOARS.
    10.1017/S0013091512000454
  93. Futorny, V.; Ovsienko, S.; Saorín, M.. "Torsion theories induced from commutative subalgebras". Journal of Pure and Applied Algebra 215 12 (2011): 2937-2948. http://www.scopus.com/inward/record.url?eid=2-s2.0-79959368188&partnerID=MN8TOARS.
    10.1016/j.jpaa.2011.04.014
  94. Farenick, D.; Futorny, V.; Gerasimova, T.G.; Sergeichuk, V.V.; Shvai, N.. "A criterion for unitary similarity of upper triangular matrices in general position". Linear Algebra and Its Applications 435 6 (2011): 1356-1369. http://www.scopus.com/inward/record.url?eid=2-s2.0-79958828783&partnerID=MN8TOARS.
    10.1016/j.laa.2011.03.021
  95. Futorny, V.; Horn, R.A.; Sergeichuk, V.V.. "A canonical form for nonderogatory matrices under unitary similarity". Linear Algebra and Its Applications 435 4 (2011): 830-841. http://www.scopus.com/inward/record.url?eid=2-s2.0-79955822926&partnerID=MN8TOARS.
    10.1016/j.laa.2011.01.042
  96. Cox, B.; Futorny, V.. "Djkm algebras I: Their universal central extension". Proceedings of the American Mathematical Society 139 10 (2011): 3451-3460. http://www.scopus.com/inward/record.url?eid=2-s2.0-79960783081&partnerID=MN8TOARS.
    10.1090/S0002-9939-2011-10906-7
  97. Futorny, V.; Ovsienko, S.. "Galois orders in skew monoid rings". Journal of Algebra 324 4 (2010): 598-630. http://www.scopus.com/inward/record.url?eid=2-s2.0-79959361061&partnerID=MN8TOARS.
    10.1016/j.jalgebra.2010.05.006
  98. Futorny, V.; Molev, A.; Ovsienko, S.. "The Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite W-algebras". Advances in Mathematics 223 3 (2010): 773-796. http://www.scopus.com/inward/record.url?eid=2-s2.0-70450224466&partnerID=MN8TOARS.
    10.1016/j.aim.2009.08.018
  99. Bekkert, V.; Drozd, Y.; Futorny, V.. "Derived tame local and two-point algebras". Journal of Algebra 322 7 (2009): 2433-2448. http://www.scopus.com/inward/record.url?eid=2-s2.0-68349152807&partnerID=MN8TOARS.
    10.1016/j.jalgebra.2009.05.023
  100. Rao, S.E.; Futorny, V.. "Integrable modules for affine lie superalgebras". Transactions of the American Mathematical Society 361 10 (2009): 5435-5455. http://www.scopus.com/inward/record.url?eid=2-s2.0-77950686948&partnerID=MN8TOARS.
    10.1090/S0002-9947-09-04749-7
  101. Bueno, A.; Cox, B.; Futorny, V.. "Free field realizations of the elliptic affine Lie algebra s l (2, R) ¿ (OR / d R)". Journal of Geometry and Physics 59 9 (2009): 1258-1270. http://www.scopus.com/inward/record.url?eid=2-s2.0-67650707907&partnerID=MN8TOARS.
    10.1016/j.geomphys.2009.06.007
  102. Futorny, V.; Kashuba, I.. "Induced modules for affine Lie algebras". Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 5 (2009): http://www.scopus.com/inward/record.url?eid=2-s2.0-84896064213&partnerID=MN8TOARS.
    10.3842/SIGMA.2009.026
  103. Futorny, V.; Horn, R.A.; Sergeichuk, V.V.. "Classification of squared normal operators on unitary and Euclidean spaces". Journal of Mathematical Sciences 155 6 (2008): 950-955. http://www.scopus.com/inward/record.url?eid=2-s2.0-57349149059&partnerID=MN8TOARS.
    10.1007/s10958-008-9252-7
  104. Futorny, V.; Jardim, M.; Moura, A.A.. "On moduli spaces for abelian categories". Communications in Algebra 36 6 (2008): 2171-2185. http://www.scopus.com/inward/record.url?eid=2-s2.0-45949093393&partnerID=MN8TOARS.
    10.1080/00927870801949708
  105. Futorny, V.; Horn, R.A.; Sergeichuk, V.V.. "Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms". Journal of Algebra 319 6 (2008): 2351-2371. http://www.scopus.com/inward/record.url?eid=2-s2.0-39149084043&partnerID=MN8TOARS.
    10.1016/j.jalgebra.2008.01.002
  106. Futorny, V.; Sergeichuk, V.V.. "Classification of sesquilinear forms with the first argument on a subspace or a factor space". Linear Algebra and Its Applications 424 1 SPEC. IS (2007): 282-303. http://www.scopus.com/inward/record.url?eid=2-s2.0-34247853404&partnerID=MN8TOARS.
    10.1016/j.laa.2007.01.004
  107. Futorny, V.; Sergeichuk, V.V.; Zharko, N.. "Positivity criteria generalizing the leading principal minors criterion". Positivity 11 1 (2007): 191-199. http://www.scopus.com/inward/record.url?eid=2-s2.0-33846656927&partnerID=MN8TOARS.
    10.1007/s11117-006-2013-2
  108. Futorny, V.; Ustimenko, V.. "On small world semiplanes with generalised Schubert cells". Acta Applicandae Mathematicae 98 1 (2007): 47-61. http://www.scopus.com/inward/record.url?eid=2-s2.0-34250799080&partnerID=MN8TOARS.
    10.1007/s10440-007-9144-8
  109. Cox, B.L.; Futorny, V.. "Structure of intermediate Wakimoto modules". Journal of Algebra 306 2 (2006): 682-702. http://www.scopus.com/inward/record.url?eid=2-s2.0-33750605070&partnerID=MN8TOARS.
    10.1016/j.jalgebra.2006.08.019
  110. Billig, Y.; Futorny, V.; Molev, A.. "Verma modules for yangians". Letters in Mathematical Physics 78 1 (2006): 1-16. http://www.scopus.com/inward/record.url?eid=2-s2.0-33749999258&partnerID=MN8TOARS.
    10.1007/s11005-006-0107-1
  111. Futorny, V.M.; Grishkov, A.N.; Melville, D.J.. "Verma-type modules for quantum affine lie algebras". Algebras and Representation Theory 8 1 (2005): 99-125. http://www.scopus.com/inward/record.url?eid=2-s2.0-23944515367&partnerID=MN8TOARS.
    10.1007/s10468-004-5765-z
  112. Futorny, V.; Molev, A.; Ovsienko, S.. "Harish-chandra modules for yangians". Representation Theory 9 15 (2005): 426-454. http://www.scopus.com/inward/record.url?eid=2-s2.0-70450222880&partnerID=MN8TOARS.
    10.1090/S1088-4165-05-00195-0
  113. Futorny, V.; Ovsienko, S.. "Kostant's theorem for special filtered algebras". Bulletin of the London Mathematical Society 37 2 (2005): 187-199. http://www.scopus.com/inward/record.url?eid=2-s2.0-28844475507&partnerID=MN8TOARS.
    10.1112/S0024609304003844
  114. Dimitrov, I.; Futorny, V.; Penkov, I.. "A reduction theorem for highest weight modules over toroidal Lie algebras". Communications in Mathematical Physics 250 1 (2004): 47-63. http://www.scopus.com/inward/record.url?eid=2-s2.0-4744344139&partnerID=MN8TOARS.
    10.1007/s00220-004-1142-3
  115. Cox, B.L.; Futorny, V.. "Intermediate Wakimoto modules for affine S-fraktur sign l(n + 1, C)". Journal of Physics A: Mathematical and General 37 21 (2004): 5589-5603. http://www.scopus.com/inward/record.url?eid=2-s2.0-2942642138&partnerID=MN8TOARS.
    10.1088/0305-4470/37/21/006
  116. Bekkert, V.; Futorny, V.. "Derived categories of Schur algebras". Communications in Algebra 31 4 (2003): 1799-1822. http://www.scopus.com/inward/record.url?eid=2-s2.0-0038811938&partnerID=MN8TOARS.
  117. Dokuchaev, M.; Vasconcellos Figueiredo, L.M.; Futorny, V.. "Imaginary Verma modules for the extended affine Lie algebra sl2(Cq)". Communications in Algebra 31 1 (2003): 289-308. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037258927&partnerID=MN8TOARS.
  118. Britten, D.J.; Futorny, V.M.; Lemire, F.W.. "Submodule Lattice of Generalized Verma Modules". Communications in Algebra 31 12 (2003): 6175-6197. http://www.scopus.com/inward/record.url?eid=2-s2.0-0242426485&partnerID=MN8TOARS.
    10.1081/AGB-120024874
  119. Futorny, V.; König, S.; Mazorchuk, V.. "Categories of induced modules and standardly stratified algebras". Algebras and Representation Theory 5 3 (2002): 259-276. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036685083&partnerID=MN8TOARS.
    10.1023/A:1016579318115
  120. Futorny, V.; Tsylke, A.. "Classification of irreducible nonzero level modules with finite-dimensional weight spaces for affine Lie algebras". Journal of Algebra 238 2 (2001): 426-441. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035872060&partnerID=MN8TOARS.
    10.1006/jabr.2000.8648
  121. Futorny, V.; König, S.; Mazorchuk, V.. "Categories of induced modules for Lie algebras with triangular decomposition". Forum Mathematicum 13 5 (2001): 641-661. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035539321&partnerID=MN8TOARS.
  122. Cox, B.; Futorny, V.. "Borel Subalgebras and Categories of Highest Weight Modules for Toroidal Lie Algebras". Journal of Algebra 236 1 (2001): 1-28. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035255676&partnerID=MN8TOARS.
    10.1006/jabr.2000.8509
  123. Futorny, V.; Nakano, D.K.; Pollack, R.D.. "Representation type of the blocks of category script o sign". Quarterly Journal of Mathematics 52 3 (2001): 285-305. http://www.scopus.com/inward/record.url?eid=2-s2.0-0039147476&partnerID=MN8TOARS.
    10.1093/qjmath/52.3.285
  124. Futorny, V.; König, S.; Mazorchuk, V.. "A combinatorial description of blocks in O(P,¿) associated with sl(2)-Induction". Journal of Algebra 231 1 (2000): 86-103. http://www.scopus.com/inward/record.url?eid=2-s2.0-0034259567&partnerID=MN8TOARS.
  125. Futorny, V.M.; Melville, D.J.. "Equivalence of certain categories of modules for quantized affine lie algebras". Journal of the Australian Mathematical Society 69 2 (2000): 162-175. http://www.scopus.com/inward/record.url?eid=2-s2.0-0040214483&partnerID=MN8TOARS.
  126. Futorny, V.; König, S.; Mazorchuk, V.. "S-subcategories in script O sign". Manuscripta Mathematica 102 4 (2000): 487-503. http://www.scopus.com/inward/record.url?eid=2-s2.0-0040198066&partnerID=MN8TOARS.
  127. Futorny, V.; Mazorchuk, V.. "Highest weight categories of lie algebra modules". Journal of Pure and Applied Algebra 138 2 (1999): 107-118. http://www.scopus.com/inward/record.url?eid=2-s2.0-0033577638&partnerID=MN8TOARS.
  128. Futorny, V.; Kashuba, I.. "Verma type modules for toroidal Lie algebras". Communications in Algebra 27 8 (1999): 3979-3991. http://www.scopus.com/inward/record.url?eid=2-s2.0-0033444603&partnerID=MN8TOARS.
  129. Futorny, V.M.; Melville, D.J.. "Quantum Deformations of a-Stratified Modules". Algebras and Representation Theory 1 2 (1998): 135-153. http://www.scopus.com/inward/record.url?eid=2-s2.0-0012195776&partnerID=MN8TOARS.
  130. Futorny, V.; Mazorchuk, V.. "BGG-resolution for a-stratified modules over simply-laced finite-dimensional Lie algebras". Kyoto Journal of Mathematics 38 2 (1998): 229-240. http://www.scopus.com/inward/record.url?eid=2-s2.0-0002102425&partnerID=MN8TOARS.
  131. Futorny, V.. "Verma type modules of level zero for affine lie algebras". Transactions of the American Mathematical Society 349 7 (1997): 2663-2685. http://www.scopus.com/inward/record.url?eid=2-s2.0-33646891587&partnerID=MN8TOARS.
  132. Cox, B.; Futorny, V.; Kang, S.-J.; Melville, D.. "Quantum deformations of imaginary verma modules". Proceedings of the London Mathematical Society 74 1 (1997): 52-80. http://www.scopus.com/inward/record.url?eid=2-s2.0-0040317098&partnerID=MN8TOARS.
  133. Cox, B.; Futorny, V.; Melville, D.. "Categories of nonstandard highest weight modules for affine Lie algebras". Mathematische Zeitschrift 221 2 (1996): 193-209. http://www.scopus.com/inward/record.url?eid=2-s2.0-0040898730&partnerID=MN8TOARS.
  134. Futorny, V.M.. "Irreducible non-dense A1(1)-modules". Pacific Journal of Mathematics 172 1 (1996): 83-99. http://www.scopus.com/inward/record.url?eid=2-s2.0-0001835255&partnerID=MN8TOARS.
  135. Futorny, V.; Mazorchuk, V.. "Structure of a-stratified modules for finite-dimensional Lie algebras, I". Journal of Algebra 183 2 (1996): 456-482. http://www.scopus.com/inward/record.url?eid=2-s2.0-0030585840&partnerID=MN8TOARS.
    10.1006/jabr.1996.0229
  136. Britten, D.J.; Lemire, F.W.; Futorny, V.M.. "Simple a2-modules with a finite dimensional weight space". Communications in Algebra 23 2 (1995): 467-510. http://www.scopus.com/inward/record.url?eid=2-s2.0-84973050722&partnerID=MN8TOARS.
    10.1080/00927879508825232
  137. Futorny, V.M.; Pollack, D.. "A new category of lie algebra modules satisfying the bgg reciprocity principle". Communications in Algebra 22 1 (1994): 213-227. http://www.scopus.com/inward/record.url?eid=2-s2.0-21344478011&partnerID=MN8TOARS.
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  138. Cox, B.; Futorny, V.; Kang, S.-J.; Melville, D.. "Quantum deformations of imaginary verma modules". Proceedings of the London Mathematical Society 74 1 (1994): 79-80. http://www.scopus.com/inward/record.url?eid=2-s2.0-84973958598&partnerID=MN8TOARS.
  139. Coleman, A.J.; Futorny, V.M.. "Stratified L-modules". Journal of Algebra 163 1 (1994): 219-234. http://www.scopus.com/inward/record.url?eid=2-s2.0-38149147637&partnerID=MN8TOARS.
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  140. Futorny, V.M.. "Verma-type modules over affine Lie algebras". Functional Analysis and Its Applications 27 3 (1993): 224-225. http://www.scopus.com/inward/record.url?eid=2-s2.0-33646888957&partnerID=MN8TOARS.
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  141. Futorny, V.M.. "Irreducible graded A1(1)-modules". Functional Analysis and Its Applications 26 4 (1992): 289-291. http://www.scopus.com/inward/record.url?eid=2-s2.0-34249837938&partnerID=MN8TOARS.
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  142. Futorny, V.M.. "Weight sl(3)-modules generated by semiprimitive elements". Ukrainian Mathematical Journal 43 2 (1991): 250-254. http://www.scopus.com/inward/record.url?eid=2-s2.0-0011437977&partnerID=MN8TOARS.
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