汇报标题 (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)
汇报人 (Speaker)：罗栗 教授 (华东师范大学)
汇报功夫 (Time)：2023年11月7日(周二) 13:00
汇报地址 (Place)：校本部D121
约请人(Inviter)：何海安
主办部门：理学院数学系
汇报提要：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.
