New invariants of stable equivalences of Artin algebras

讲座时间 Datetime: 2022年9月8日，星期五，10:15-11:15

地点 Venue: 腾讯会议：946-628-9201

主持人 Host：黄敏

报告人 Speaker: 惠昌常  

单位 Affiliation: 首都师范大学

报告摘要 Abstract:

An unsolved problem on stable equivalences of Artin algebras s-tates that two stably equivalent algebras have the same numbers of non-isomorphic, non-projective simple modules. This is well known as the Auslander-Reiten (or Auslander-Alperin) conjecture on stable equivalences. Thus the conjecture predicts that the numbers of non-isomorphic, non-projective simple modules of algebras are invariant under stable equivalences. In this talk, we shall reveal some new in-variants of stable equivalences of Artin algebras and show that the Auslander-Reiten conjecture holds true for a class of centralizer alge-bras of matrices over algebraically closed field. The talk reports a joint work with Jinbi Zhang.