Polynomial identities of matrix algebra with additional structures

• Grant number: 21/03733-5
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: August 01, 2021
• End date: July 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Plamen Emilov Kochloukov
• Grantee: Dafne Campos Lima Bessades Pereira
• Host 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

Abstract

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)