学术报告

题目：Endomorphism algebras of projective-injective modules

报告人：胡峻 教授（北京理工大学）

时间：2023年3月16日星期四下午4:00

地点：浙大紫金港校区海纳苑2幢101

摘要：To determine if the endomorphism ring of a projective-injective module is symmetric is of wide interest in representation theory, ring theory and algebraic Lie theory. In this talk we show that for any projective-injective module over a large class of algebras which includes all quasi-hereditary truncations and quotients of (quantised, cyclotomic) Schur algebras and certain quotients of Hecke algebras of type $A$ that the endomorphism algebra is symmetric. We present an explicit example showing that endomorphism algebras of projective-injective modules in the BGG category $\mathcal{O}_q$ for the quantum group $U_q$ need not be symmetric, thereby disproving a conjecture by Andersen and Mazorchuk. This talk is based on a joint work with Fang Ming.

联系人： 李方 教授 fangli@zju.edu.cn