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Brauer algebras and the category of finite dimensional representations of the orthosymplectic Lie superalgebra

Catharina Stroppel (University of Bonn)
Onsdag, 20 januar, 2016, at 14:15-15:15, in G3.3 (1532-322)
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.
Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen