Tensor product of the Fock representation with its dual.
Speaker: Vera Serganova (University of California, Berkeley)
Abstract: Let F denote the Fock representation for sl(\infty). We describe the structure of the tensor product of F with its restricted dual F^*. In particular we prove that this module has a decreasing filtration with simple quotients and show that such filtration is unique. The proof uses categorification of the abelian envelope of Deligne category GL(t) for integer t and the category of finite-dimensional representations of the supergroup GL(m|n) with m-n=t.
Visit website of the seminar for the zoom link about one-two days before the talk.
Tuesday, October 20, 2020 at 12:00pm to 1:00pm