科学研究
报告题目:

Equivalence relations on matrices and derived equivalences of centralizers

报告人:

惠昌常 教授(首都师范大学)

报告时间:

报告地点:

2021欧洲杯买球平台官网东北楼四楼报告厅(404)

报告摘要:

We investigate three fundamental equivalences in the representation theory of algebras and groups: Morita, derived and stable equivalences. Mainly we focus on them for the class of the centralizer algebras of matrices. This class of algebras appears in many aspects of mathematics. For example, in geometry variety, Markov process, and invariant theory. By introducing new equivalence relations on square matrices, we describe Morita, derived and stable equivalences of Morita type between centralizer algebras in terms of elementary divisors of given matrices. The talk reports parts of a joint work with X. G. Li.