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Maria Elisabete Félix Barreiro is an Assistant Professor in the Department of Mathematics at the University of Coimbra and a member of CMUC, the Mathematics Centre of the University of Coimbra. She holds a PhD degree in Pure Mathematics from the University of Coimbra (2007). Research Topics: non-associative algebras.
Identification

Personal identification

Full name
Maria Elisabete Félix Barreiro

Citation names

  • Barreiro, Elisabete

Author identifiers

Ciência ID
BA12-5F9B-FC8A
ORCID iD
0000-0002-1369-3737
Google Scholar ID
https://scholar.google.pt/citations?hl=pt-PT&user=VE6LE7oAAAAJ
Scopus Author Id
https://www.scopus.com/authid/detail.uri?authorId=25626074700

Addresses

  • Departamento de Matemática, Universidade de Coimbra , 3000-143, Coimbra, Coimbra, Portugal (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics - Pure Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Education
Degree Classification
2007
Concluded
 Matemática (Doutoramento)
Major in Especialidade: Matemática Pura
Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
"Quadratic Lie Superalgebras and Some Problems on Lie Bi-superalgebras" (THESIS/DISSERTATION)
 Aprovada com distinção e Louvor
1993 - 1997
Concluded
 Matemática (Mestrado)
Major in Matemática Pura
Universidade de Lisboa Faculdade de Ciências, Portugal
"Estabilidade de aplicações harmónicas" (THESIS/DISSERTATION)
 Muito Bom
1987 - 1991
Concluded
 Matemática (Licenciatura)
Major in Matemática Pura
Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
 16
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2007/07 - Current Assistant Professor (University Teacher) Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
1997 - 2007 Assistant (University Teacher) Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
1991 - 1997 Trainee Assistant (University Teacher) Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
Universidade de Coimbra, Portugal
Projects

Grant

Designation Funders
2001/10/01 - 2002/04/30 APLICAÇÕES HARMÓNICAS ENTRE POLIEDROS RIEMANNIANOS
SFRH/BD/5329/2001
 Fundação para a Ciência e a Tecnologia
Concluded

Contract

Designation Funders
2020/01/01 - 2023/12/31 Centro de Matemática da Universidade de Coimbra
UIDB/00324/2020
10.54499/UIDB/00324/2020
Universidade de Coimbra Centro de Matemática, Portugal
 Fundação para a Ciência e a Tecnologia
Under evaluation
2019/01/01 - 2019/12/31 Centro de Matemática da Universidade de Coimbra
UID/MAT/00324/2019
Universidade de Coimbra Centro de Matemática, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2012/12/31 Projecto Estratégico - UI 324 - 2011-2012
PEst-C/MAT/UI0324/2011
Universidade de Coimbra Centro de Matemática, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Journal article
  1. Ferreira, Bruno Leonardo Macedo; Barreiro, Elisabete; de Araujo Smigly, Douglas. "A Hua-type theorem for Cayley algebras". Rendiconti del Circolo Matematico di Palermo Series 2 (2024): http://dx.doi.org/10.1007/s12215-024-01029-z.
    10.1007/s12215-024-01029-z
  2. Bruno Leonardo Macedo Ferreira; Elisabete Barreiro; Douglas de Araujo Smigly. "Artin's Theorem on Alternative Rings". Mediterranean Journal of Mathematics (2024): http://dx.doi.org/10.1007/s00009-023-02556-2.
    10.1007/s00009-023-02556-2
  3. Elisabete Barreiro; Antonio Jesús Calderón Martín; Rosa M. Navarro; José M. Sánchez. "Graded Lie-Rinehart algebras". Journal of Geometry and Physics (2023): 104914-104914. http://dx.doi.org/10.1016/j.geomphys.2023.104914.
    10.1016/j.geomphys.2023.104914
  4. Elisabete Barreiro; Saïd Benayadi; Rosa M. Navarro; José M. Sánchez. "Quadratic symplectic Lie superalgebras with a filiform module as an odd part". Journal of Mathematical Physics (2023): https://doi.org/10.1063/5.0142935.
    10.1063/5.0142935
  5. Hani Abdelwahab; Elisabete Barreiro; Antonio J. Calderón; José M. Sánchez. "Decomposition of Linear Operators on Pre-Euclidean Spaces by Means of Graphs". Mathematics (2023): https://doi.org/10.3390/math11030725.
    10.3390/math11030725
  6. Elisabete Barreiro; Hani Abdelwahab; Antonio J. Calderón; Amir Fernández Ouaridi. "The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four". Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 117 1 (2023): http://dx.doi.org/10.1007/s13398-022-01344-z.
    10.1007/s13398-022-01344-z
  7. Elisabete Barreiro; José M. Sánchez. "RETRACTED ARTICLE: Split Malcev-Poisson-Jordan algebras". Communications in Algebra (2022): https://doi.org/10.1080/00927872.2022.2077954.
    10.1080/00927872.2022.2077954
  8. Elisabete Barreiro. "The classification of nilpotent Lie-Yamaguti algebras". Linear Algebra and its Applications 654 (2022): 339-378. http://dx.doi.org/10.1016/j.laa.2022.09.005.
    10.1016/j.laa.2022.09.005
  9. Barreiro, Elisabete; Benayadi, Saïd; Navarro, Rosa M.; José M. Sánchez. "On Lie Superalgebras with a Filiform Module as an Odd Part". Journal of Lie Theory 32 4 (2022): 917-936.
  10. Elisabete Barreiro; Hani Abdelwahab; Antonio J. Calderón; Amir Fernández Ouaridi. "The algebraic classification and degenerations of nilpotent Poisson algebras". Journal of Algebra (2022): http://dx.doi.org/10.1016/j.jalgebra.2022.10.018.
    10.1016/j.jalgebra.2022.10.018
  11. Barreiro, Elisabete; Benayadi, Saïd; Navarro, Rosa M.; Sánchez, José M.. "Odd-quadratic Lie superalgebras with a weak filiform module as an odd part". Linear Algebra and its Applications 649 (2022): 22-46. http://dx.doi.org/10.1016/j.laa.2022.04.013.
    10.1016/j.laa.2022.04.013
  12. Barreiro, Elisabete; Calderón, Antonio J.; Lopes, Samuel A.; Sánchez, José M.. "Leibniz algebras and graphs". Linear and Multilinear Algebra (2022): 1-14. http://dx.doi.org/10.1080/03081087.2022.2092048.
    10.1080/03081087.2022.2092048
  13. De Oliveira Andrade, Aline Jaqueline; Barreiro, Elisabete; Ferreira, Bruno Leonardo Macedo. "*-Lie-type maps on alternative *-algebras". Journal of Algebra and Its Applications (2022): http://dx.doi.org/10.1142/s021949882350130x.
    10.1142/s021949882350130x
  14. Albuquerque, H.; Barreiro, E.; Benayadi, S.; Boucetta, M.; Sánchez, J.M.. "Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras". Journal of Geometry and Physics 160 (2021): 103939. http://dx.doi.org/10.1016/j.geomphys.2020.103939.
    10.1016/j.geomphys.2020.103939
  15. Helena Albuquerque; Elisabete Barreiro; A.J. Calderón; José M. Sánchez. "Leibniz superalgebras with a set grading". Journal of Geometry and Physics 155 (2020): 103772-103772. https://doi.org/10.1016/j.geomphys.2020.103772.
    10.1016/j.geomphys.2020.103772
  16. Albuquerque, Helena; Barreiro, Elisabete; Calderón, A. J.; Sánchez, José M.. "Split Lie-Rinehart algebras". Journal of Algebra and Its Applications 20 09 (2020): 2150164. http://dx.doi.org/10.1142/s0219498821501644.
    10.1142/s0219498821501644
  17. Barreiro, Elisabete; Calderón, A. J.; Navarro, Rosa M.; Sánchez, José M.. "On the structure of graded Lie algebras of order 3". Colloquium Mathematicum 162 2 (2020): 245-262. http://dx.doi.org/10.4064/cm7849-7-2019.
    10.4064/cm7849-7-2019
  18. ALBUQUERQUE, HELENA; BARREIRO, ELISABETE; SÁNCHEZ, JOSÉ M.; CALVO, CARLOS SONEIRA. "COALTERNATIVE COALGEBRAS". Glasgow Mathematical Journal 62 S1 (2019): S142-S164. http://dx.doi.org/10.1017/s0017089519000314.
    10.1017/s0017089519000314
  19. Albuquerque, Helena; Barreiro, Elisabete; Calderón, A. J.; Sánchez-Delgado, José M.. "Leibniz triple systems admitting a multiplicative basis". Communications in Algebra 48 1 (2019): 430-440. http://dx.doi.org/10.1080/00927872.2019.1648647.
    10.1080/00927872.2019.1648647
  20. Barreiro, Elisabete; Calderón, Antonio Jesús; Kaygorodov, Ivan; Sánchez, José María. "n-Ary Generalized Lie-Type Color Algebras Admitting a Quasi-multiplicative Basis". Algebras and Representation Theory 22 6 (2018): 1371-1386. http://dx.doi.org/10.1007/s10468-018-9824-2.
    10.1007/s10468-018-9824-2
  21. Barreiro, Elisabete; Kaygorodov, Ivan; Sánchez, José M.. "k-Modules Over Linear Spaces by n-Linear Maps Admitting a Multiplicative Basis". Algebras and Representation Theory 22 3 (2018): 615-626. http://dx.doi.org/10.1007/s10468-018-9790-8.
    10.1007/s10468-018-9790-8
  22. Barreiro, Elisabete; Albuquerque, Helena; Calderón Martín, Antonio J.; Sánchez Delgado, José M.. "On split regular Hom-Lie superalgebras". Journal of Geometry and Physics 128 (2018): 1-11. https://www.sciencedirect.com/science/article/pii/S039304401830041X#!.
    Published • 10.1016/j.geomphys.2018.01.025
  23. Albuquerque, H.M.M.; Barreiro, M.E.F.; Sánchez-Delgado, J.M.. "G-crossed product on G-quasiassociative algebras". Algebra and Discrete Mathematics 24 1 (2017): 1-25. http://www.scopus.com/inward/record.url?eid=2-s2.0-85031108846&partnerID=MN8TOARS.
  24. Barreiro, Elisabete; Benayadi, Saïd. "A New Approach to Leibniz Bialgebras". Algebras and Representation Theory 19 1 (2016): 71-101.
    Published • 10.1007/s10468-015-9563-6
  25. Albuquerque, Helena; Barreiro, Elisabete; Calderón Martín, Antonio J.; Sánchez Delgado, José M.. "The structure of Leibniz superalgebras admitting a multiplicative basis". Journal of Geometry and Physics 110 1 (2016): 259-268.
    Published • 10.1016/j.geomphys.2016.07.011
  26. Albuquerque, Helena; Barreiro, Elisabete; Benayadi, Saïd. "Homogeneous Symmetric Antiassociative Quasialgebras". Communications in Algebra 42 7 (2014): 2939-2955.
    Published • 10.1080/00927872.2013.775291
  27. Barreiro, Elisabete. "A universal enveloping algebra of Malcev superalgebras". Portugaliae Mathematica 68 3 (2011): 259-278.
    Published • 10.4171/PM/1891
  28. Barreiro, Elisabete; Elduque, Alberto; Martínez, Consuelo. "Derivations of the Cheng-Kac Jordan superalgebras". Journal of Algebra 338 1 (2011): 144-156.
    Published • 10.1016/j.jalgebra.2011.02.016
  29. Barreiro, Elisabete. "The TKK construction of a Cheng-Kac Jordan superalgebra of characteristic 3". Extracta Mathematicae (2011): http://www.unex.es/extracta/.
  30. Albuquerque, Helena; Barreiro, Elisabete; Benayadi, Saïd; Barreiro, Elisabete. "Odd-quadratic Lie superalgebras". Journal of Geometry and Physics 60 2 (2010): 230-250. http://adm.luguniv.edu.ua/.
    Published • 10.1016/j.geomphys.2009.09.013
  31. Albuquerque, Helena; Barreiro, Elisabete; Benayadi, Saïd. "Quadratic Malcev Superalgebras with Reductive Even Part". Communications in Algebra 38 2 (2010): 785-797.
    Published • 10.1080/00927870903392393
  32. Barreiro, Elisabete. "Odd-quadratic Malcev superalgebras". Algebra and Discrete Mathematics 9 2 (2010): 11-38.
  33. Albuquerque, Helena; Barreiro, Elisabete; Benayadi, Saïd. "Quadratic Lie superalgebras with a reductive even part". Journal of Pure and Applied Algebra 213 5 (2009): 724-731.
    Published • 10.1016/j.jpaa.2008.09.016
  34. Barreiro, Elisabete; Benayadi, Saïd. "Quadratic symplectic Lie superalgebras and Lie bi-superalgebras". Journal of Algebra 321 2 (2009): 582-608.
    Published • 10.1016/j.jalgebra.2008.09.026
Thesis / Dissertation
  1. Carvalho, Maria Elisabete Félix Barreiro. "Quadratic Lie superalgebras and some problems on Lie bi-superalgebras". PhD, 2007. http://hdl.handle.net/10316/7516.
  2. "Estabilidade de aplicações harmónicas". Master, Universidade de Lisboa Faculdade de Ciências, 1997.

Other

Other output
  1. Colaboração, como revisor, para a Zentralblatt MATH. 2012. Barreiro, Elisabete.
  2. Colaboração, como revisor, para a Mathematical Reviews. 2009. Barreiro, Elisabete.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2022/08 The algebraic classification of nilpotent Poisson algebras up to dimension four Encontro Conjunto Brasil - Portugal em Matemática
Universidade Federal da Bahia (Salvador, Bahia, Brazil)
2022/05/20 A new approach to Leibniz bialgebras II Non-Associative Day in Coimbra
University of Coimbra (Coimbra, Portugal)
2018/07/13 The structure of Leibniz superalgebras admitting a multiplicative basis Workshop on Non-associative Algebras and Applications
Mathematics and Statistics, University of Lancaster (Lancaster, United Kingdom)
2017 Split Lie-Rinehart algebras Lie and Jordan Algebras, their Representations and Applications VII
(Natal, Brazil)
2015 On Leibniz bialgebras AMS-EMS-SPM Meeting Porto 2015 ( http://aep-math2015.spm.pt/)
American Mathematical Society , European Mathematical Society, Portuguese Mathematical Society -University of Porto (Porto, Portugal)
2012 Quadratic symplectic Lie superalgebras and triangular Lie bi-superalgebras Workshop on Lie and Jordan Structures
University of Malaga- Department of Algebra, Geometry and Topology ( Malaga, Spain, Spain)
2012 Quadratic symplectic Lie superalgebras and Lie bi-superalgebras
Centre for Mathematics of the University of Coimbra ( Coimbra, Portugal, Portugal)
2011 Homogeneous symmetric antiassociative Quasialgebras VI International Conference on non associative algebra and its applications
Universidad de Zaragoza ( Zaragoza, Spain)
2011 Homogeneous symmetric antiassociative Quasialgebras Non-associative Algebras and Related Topics
Department of Mathematics, University of Coimbra, Portugal ( Coimbra , Portugal)
2010 Quadratic Non-Associative (Super)Algebras and Quasialgebras First Joint Meeting of the American Mathematical Society and the Sociedad de Matemática de Chile
Universidad de la Frontera, Pucón, Chile ( Pucón, Chile, Chile)
2010 Enveloping Algebra for Simple Malcev Algebras International Conference on Algebras and Lattices
Charles University (Department of Algebra) and Czech Mathematical Society ( Prague, Czech Republic, Czech Republic)
2009 Quadratic Malcev Superalgebras Algebras, Representations and Applications (Lie and Jordan Algebras, their Representations and Applications-IV)
Department of Mathematics Federal University of Amazonas / Institute of Mathematics and Statistics University of São Paulo ( Manaus, Brazil, Brazil)
2009 Quadratic Lie Superalgebras Euro-Maghreb Meeting In Algebra, Number theory and Computer Algebra
Cadi Ayyad University of Marrakech ( Marrakech, Morocco, Morocco)
2008 Inductive Description of Quadratic Lie Superalgebras
(Oviedo, Spain, Spain)
2007 Odd-quadratic Lie Superalgebras First French-Spanish Mathematical Congress
( Zaragoza, Spain, Spain)
2007 Odd-quadratic Lie Superalgebras
Centre for Mathematics of the University of Coimbra (Coimbra, Portugal, Portugal)
2007 Odd-quadratic Lie Superalgebras with reductive even part
Centre for Mathematics of the University of Coimbra (Coimbra, Portugal, Portugal)
2003 Aplicações Harmónicas entre Poliedros Riemannianos
Centre for Mathematics of the University of Coimbra (Coimbra, Portugal, Portugal)
2003 Aplicações Harmónicas entre Poliedros Riemannianos
(Braga, Portugal, Portugal)
1996 Aplicações nas Variedades Riemannianas com Energia Crítica com Respeito à Deformação da Métrica
(Lisbon, Portugal, Portugal)

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2022/01 - 2024/01 Classificação algébrica e classificação geométrica de classes de álgebras nilpotentes
Co-supervisor of Amir Fernández Ouaridi
 Investigador pós-doutorado da bolsa de requalificação da Universidade de Cádiz, modalidade Margarita Salas (Specialization course)
Universidade de Coimbra Departamento de Matemática, Portugal
2015/10 - 2017/09 Álgebras de divisão, álgebras graduadas e estruturas algébricas admitindo uma base multiplicativa
Co-supervisor of José María Sánchez Delgado
 Investigador pós-doutorado da FCT (SFRH/BPD/101675/2014) (Specialization course)
Universidade de Coimbra Departamento de Matemática, Portugal
2012/09 - 2013/06 Números Primos
Supervisor of Sandrina Marques Pinto
 Relatório do Mestrado em Ensino de Matemática no 3o¯ ciclo do Ensino Básico e no Secundário (Master)
Universidade de Coimbra Departamento de Matemática, Portugal
2012/09 - 2013/06 Resolução de equações algébricas e sua história
Supervisor of João Manuel Eiras de Matos
 Relatório do Mestrado em Ensino de Matemática no 3o¯ ciclo do Ensino Básico e no Secundário (Master)
Universidade de Coimbra Departamento de Matemática, Portugal

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2015/12 - Current Seminários do grupo de Álgebra e Combinatória do CMUC (2015/12)
Seminar (Co-organisor)
 Universidade de Coimbra Departamento de Matemática, Portugal
2022/07/18 - 2022/07/22 Non-associative Algebras and Related Topics II (2022/07/18 - 2022/07/22)
Congress (Member of the Organising Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal
2019/09/27 - 2019/09/27 Dia de Álgebra - dedicado a Helena Maria Mamede Albuquerque, por ocasião do seu aniversário (2019/09/27 - 2019/09/27)
Seminar (Member of the Organising Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal
2019/04/29 - 2019/05/03 International Workshop on Non-Associative Algebras in Porto (2019/04/29 - 2019/05/03)
Meeting (Member of the Organising Committee)
 Universidade do Porto Faculdade de Ciências, Portugal
2019/02/15 - 2019/02/16 Workshop New Trends in Quaternions and Octonions (2019/02/15 - 2019/02/16)
Meeting (Member of the Organising Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal
2011/07/25 - 2011/07/29 Non-associative Algebras and Related Topics (2011/07/25 - 2011/07/29)
Congress (Member of the Organising Committee)
 Universidade de Coimbra Departamento de Matemática, Portugal

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2017/06/19 Dualidade de Schur-Weyl
President of the jury
 Tiago Miguel Santos Cruz (Master)
Universidade de Coimbra Departamento de Matemática, Portugal
2014 Relatório de Estágio
(Thesis) Arguer
 Verónica Santos Silva (Master)
Universidade de Coimbra, Portugal
2012 Abelian subalgebras and ideals of maximal dimension in Lie algebras Manuel Ceballos González (PhD)
Universidad de Sevilla, Spain
2012 Relatório de Estágio
(Thesis) Arguer
 Pedro Joaquim Faria Ribeiro (Master)
Universidade de Coimbra, Portugal
2011 Números de Catalan
(Thesis) Arguer
 Isabel da Conceição Santos Rocha Braz Gomes (Master)
Universidade de Coimbra, Portugal
2010 Geometria do Táxi: uma dupla abordagem
(Thesis) Arguer
 Anabela Garcia Rodrigues Barbas (Master)
Universidade de Coimbra, Portugal
2010 Códigos e Aplicações
(Thesis) Arguer
 Margarida Maria Mendes Figueiredo Mateus (Master)
Universidade de Coimbra, Portugal
2009 As palavras também ajudam a aprender Matemática: Equações algébricas de grau não superior a quatro
(Thesis) Arguer
 Ermelinda Maria Pires Cravo Pinto da Silva (Master)
Universidade de Coimbra, Portugal
2009 Análise Combinatória: a sua importância no dia a dia
(Thesis) Arguer
 Marta Maria Direito Pereira Caseiro (Master)
Universidade de Coimbra, Portugal
2009 A geometria hiperbólica e a sua implementação em contexto escolar
(Thesis) Arguer
 Sandra Marta Marques Perdido (Master)
Universidade de Coimbra, Portugal

Ad Hoc journal article review

Journal title (ISSN) Publisher
2021 - 2021 Journal of Algebra Elsevier, Inc.
2021 - 2021 Rendiconti del Circolo Matematico di Palermo. Second Series Springer Italia
2020 - 2020 Mathematical Proceedings of the Royal Irish Academy Roy. Irish Acad.
2010 - 2020 Communications in Algebra (0092-7872) Taylor & Francis
2013 - 2015 Journal of Mathematics Research Can. Cent. Sci. Educ.
2012 - 2012 International Journal of Computer Mathematics Taylor & Francis

Association member

Society Organization name Role
2002 - Current Centro de Matemática da Universidade de Coimbra

Conference scientific committee

Conference name Conference host
2015/06 - 2015/06 Proceedings of the 11-th International Workshop "Lie Theory and Its Applications in Physics" (LT-11) Varna, Bulgaria

Consulting

Activity description Institution / Organization
2021 - 2021 Report for the European Doctorate Mention of the doctoral candidate: Guillermo Vera de Salas with thesis entitled Ad-nilpotent elements in algebra and superalgebras Universidad Rey Juan Carlos, Spain
2013 - 2013 Report for the European Doctorate Mention of the doctoral candidate: José María Sánchez Delgado Universidad de Cádiz - Campus de Puerto Real, Spain
2011 - 2011 Report for the European Doctorate Mention of the doctoral candidate: Manuel Ceballos González Universidad de Sevilla, Spain

Journal scientific committee

Journal title (ISSN) Publisher
2012 - 2014 Journal of Mathematics Research Canadian Center of Science and Education
Distinctions

Award

1991 Prémio Doutor João Farinha
Universidade de Coimbra Departamento de Matemática, Portugal

Other distinction

2023 Artigo selecionado como Editor's Pick do Journal of Mathematical Physics: Quadratic symplectic Lie superalgebras with a filiform module as an odd part.