The blocks of the periplectic Brauer algebra in positive characteristic

by Sigiswald Barbier (Ghent University)

Location: Krijgslaan 281. Building S8, room 3.065, Ghent
Time: Thursday August 30, 2018 at 15:00

Representation theory of the symmetric group can be related to representation theory of the general linear group via Schur-Weyl duality. Similarly, Schur-Weyl duality also relates the orthogonal Lie group, the symplectic Lie group and the encompassing orthosymplectic Lie supergroup to the Brauer algebra, and it relates the periplectic Lie supergroup to the periplectic Brauer algebra.

In this talk I will introduce this periplectic Brauer algebra and present recent work on the classification of the blocks of the Brauer algebra in positive characteristic.

This is joint work with A. Cox and M. Devisscher.