Title: Brauer algebras and the category of finite dimensional representations of the orthosymplectic Lie superalgebra.
2016.01.18 |
| Date | Wed 20 Jan |
| Time | 14:15 — 15:15 |
| Location | 1532-322 (Øvelser G 33) |
Abstract
In this talk I will describe properties and the structure of the category of finite dimensional representations for the orthosymplectic supergroup OSp respectively SOSP using Harish-Chandra pairs. Based on work of Gruson and Serganova we will present a positive counting formula for the dimension of homs spaces between indecomposable projective modules. We finally give an explicit description of the endomorphism ring of a projective generator of the category in terms of Brauer algebra combinatorics. This then also gives a precise connnection to the category of perverse sheaves on isotropic Grassmannians.
