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).