Speaker: Dr.Yang Zhang (University of Science and Technology of China & The University of Sydney)

Title:The second fundamental theorem of invariant theory for the orthosymplectic supergroup

Time:1. Tue, June.5, 2018 , PM:4:00-5:00.

       2. Wed. June.6, 2018 , AM:11:00-12:00.

Location: Room 4318, Building No.4, Wushan Campus

Abstract:

  We will introduce a natural symmetric group action on the morphism spaces of Brauer category. Hence as a particular morphism space, the Brauer algebra encodes theCSym-module structure. Using the representation theory of symmetric group, we obtain a diagrammatic description for the kernel of the surjective algebra homomorphism from the Brauer algebra onto the endomorphism algebra of the tensor product over the orthosymplectic supergroup.This amounts to the second fundamental theorem of invariant theory for the orthosymplectic supergroup. This talk is split into two sections:

  (1)The Brauer category and invariant theory;

  (2)Invariant theory for the orthosymplectic supergroup and its applications.