SMS scnews item created by Ulrich Thiel at Fri 14 Sep 2018 0843
Type: Seminar
Distribution: World
Expiry: 26 Oct 2018
Calendar1: 21 Sep 2018 1500-1600
CalLoc1: Carslaw 375
CalTitle1: Mkrtchyan -- Gradings on the Brauer algebra
Auth: thiel@p526m.pc (assumed)

# Algebra Seminar: Mkrtchyan -- Gradings on the Brauer algebra

Anna Mkrtchyan (MPI Bonn)

Friday 21 September, 3-4pm, Place: Carslaw 375

Title: Gradings on the Brauer algebra

Abstract: Brauer algebras B_n(\delta) are finite dimensional algebras introduced by
Richard Brauer in order to study the n-th tensor power of the defining representations
of the orthogonal and symplectic groups.  They play the same role that the group
algebras of the symmetric groups do for the representation theory of the general linear
groups in the classical Schur-Weyl duality.  We will discuss two different
constructions which show that the Brauer algebras are graded cellular algebras and then
show that they define the same gradings on B_n(\delta).


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