## Representation Theory and Mathematical Physics Seminar: Temperley-Lieb algebra action on the category of representations of periplectic supergroup

Seminar | February 5 | 4-5 p.m. | 748 Evans Hall

Vera Serganova, UC Berkeley

Department of Mathematics

We define the action of infinitely generated Temperley-Lieb algebra on the category of representations of the supergroup $P(n)$. The supergroup in question is an interesting super analogue of the orthogonal and symplectic groups. As an application of this construction we get algorithm computing characters of irreducible representation of $P(n)$ and some other esults. As n tends to infinity, we obtain a new universal tensor category equipped with Temperley-Lieb algebra action. In this way we obtain representation of TL in the Fock space.

artamonov@berkeley.edu