CV Lattes
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Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Graduation at Mathematics from Universidade Estadual de Campinas (2011) and Ph.D (2018) from the same University. Has a completed PDF in Universidade Estadual de Maringá (2019). Currently, is a Professor in Algebra at the Department of Mathematics, at the Instituto de Matemática e Estatística (IME), Universidade de São Paulo (USP). (Source: Lattes Curriculum)
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We shall study graded identities in Lie and Jordan algebras. We shall work with the gradings and the graded identities for the Lie algebra of the upper triangular matrices of size nxn over a field K. We shall be studying also the graded identities for the Jordan algebra of the upper triangular matrices. In both cases we aim at considering all possible gradings by finite groups. Having con…
We shall investigate if a simple nonassociative superalgebra is uniquely determined by its superpolynomial identities. The ordinary version of this question attracted the attention of several people until Razmyslov's result, where a celebrated version of the problem is solved in the context of Omega-algebras. Then, extending the question to the context of graded algebras or algebras with …
We shall study the graded identities for an elementary grading on the Lie algebra of upper triangular matrices. To this end we shall study the combinatorial properties of certain subset of the permutation group of m elements. Moreover we are planning to approach the following problem. Given two finite dimensional graded simple Lie algebras over an algebraically closed field, satisfying th…
| 1 / 1 | Completed scholarships in Brazil |
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