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Polynomial identities of matrix algebra with additional structures

Grant number: 21/03733-5
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): August 01, 2021
Effective date (End): July 31, 2023
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal researcher:Plamen Emilov Kochloukov
Grantee:Dafne Campos Lima Bessades Pereira
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated research grant:18/23690-6 - Structures, representations, and applications of algebraic systems, AP.TEM


The main goal of this research project is to study issues related to the polynomial identities satisfied by the superalgebra of matrices endowed with a graded involution or endowed with a superinvolution. We also aim to study the same issues for the superalgebra of matrices endowed with a pseudoinvolution. More specifically, we are interested in addressing issues with respect to the minimal degree of standard identities and ofpolynomial identities satisfied by the superalgebra of matrices in the aforementioned contexts. (AU)

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