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.