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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.

 

Dial-In Information

Visit website of the seminar for the zoom link about one-two days before the talk. 

Tuesday, October 20 at 12:00pm to 1:00pm