报告题目 (Title)：Howe duality and invariant theory of i-quantum groups of type AIII (Howe对偶与AIII型i-量子群的不变量理论)

报告人 (Speaker)：罗栗 教授 (华东师范大学)

报告时间 (Time)：2023年11月7日(周二) 13:00

报告地点 (Place)：校本部D121

邀请人(Inviter)：何海安

主办部门：理学院数学系

报告摘要：It is known that for classical groups, the Schur duality, the Howe duality and the fundamental theorems of invariant theory are equivalent, though they are not equally straightforward. The same picture was not completed for quantum analogues except the general linear quantum groups, whose Schur duality, Howe duality and fundamental theorems of invariant theory was established by Jimbo, Zhang and Lehrer-Zhang-Zhang, respectively. In this talk, we shall provide the Howe duality and the fundamental theorems of invariant theory for the i-quantum groups of type AIII, which can be regarded as the case of quantum type B in the sense of Hecke algebras. This is joint work with Zheming Xu.