# On the finite-dimensional periplectic Lie superalgebra representations

Seminar

Speaker

Prof. Mee Seong Im (United States Military Academy)

Date

19/07/2017 - 11:30 - 10:30Add to Calendar

`2017-07-19 10:30:00``2017-07-19 11:30:00``On the finite-dimensional periplectic Lie superalgebra representations``Considering a vector superspace with nondegenerate odd symmetric bilinear form, we define periplectic Lie superalgebras as a subalgebra satisfying this form in a certain way. I will discuss periplectic Lie superalgebras and their representation theory by discussing the action by the Temperley-Lieb algebra associated to the infinite symmetric group on the category of finite-dimensional representations of the periplectic Lie superalgebra as translation functors, the combinatorics behind these translation functors, and the blocks of this category. This is joint with I. Entova-Aizenbud, M. Balagovic, Z. Daugherty, I. Halacheva, J. Hennig , G. Letzter, E. Norton, V. Serganova, and C. Stroppel.``Third floor seminar room``אוניברסיטת בר-אילן - Department of Mathematics``mathoffice@math.biu.ac.il``Asia/Jerusalem``public`Place

Third floor seminar room

Abstract

Considering a vector superspace with nondegenerate odd symmetric bilinear form, we define periplectic Lie superalgebras as a subalgebra satisfying this form in a certain way. I will discuss periplectic Lie superalgebras and their representation theory by discussing the action by the Temperley-Lieb algebra associated to the infinite symmetric group on the category of finite-dimensional representations of the periplectic Lie superalgebra as translation functors, the combinatorics behind these translation functors, and the blocks of this category.

This is joint with I. Entova-Aizenbud, M. Balagovic, Z. Daugherty, I. Halacheva, J. Hennig , G. Letzter, E. Norton, V. Serganova, and C. Stroppel.

Last Updated Date : 03/07/2017