数学研究所

数学科学全国重点实验室

学术报告

表示论研讨班

Speaker: 司梅 教授 (上海交通大学）

Inviter:  方明

Language: Chinese

Title：Semisimplicity criteria for walled signed Brauer

algebras

Time&Venue：2025年7月10日(星期四）

14:30-15:30 &南楼N820

Abstract：Parvathi and Kamaraj defined a new class of signed diagram 

algebras which are known as signed Brauer algebras. This work 

motivated Kethesan  to define a new class of diagram algebras called 

walled signed Brauer algebras, which are subalgebras of signed Brauer 

algebras. We prove that the walled signed Brauer algebra  is isomorphic 

to the endomorphism algebra,  where  is the 

graded oriented Brauer category of level $2$ defined by Brundan, Comes, 

Nash and Reynolds. We give a necessary and sufficient condition for the 

semisimplicity of walled signed Brauer algebras over an arbitrary field. 

Equivalently, we provide criteria for the semisimplicity of the 

corresponding endomorphism algebras. This is a joint work with Xue 

Zhang.