Identities for the algebra of matrices over a field of arbitrary characteristic

• Grant number: 13/15539-2
• Support Opportunities: Regular Research Grants
• Start date: November 01, 2013
• End date: October 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Artem Lopatin
• Grantee: Artem Lopatin
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This project is dedicated to the study of algebras with polynomial identities. Our main goal is to extend Amitsur-Levitzki Theorem on the minimal degree of identities for the algebra of N x N matrices to the case of identities with the transpose involution and with the symplectic involution. To solve this problem we intend to describe a minimal generating set for the T-ideal of identities with forms for matrices. We also plan to investigate identities for matrices in some exceptional cases. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

KAYGORODOV, IVAN; LOPATIN, ARTEM A.; POPOV, YURY. Identities of sum of two PI-algebras in the case of positive characteristic. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, v. 25, n. 8, p. 1265-1273, DEC 2015. (13/15539-2)