Type: Seminar

Distribution: World

Expiry: 26 Oct 2018

CalTitle1: Mkrtchyan -- Gradings on the Brauer algebra

Auth: thiel@p526m.pc (assumed)

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).