Tuesday, June 26, 14:00, 7.527

Sam Thelin, Generalised Schur algebras and representation type.

Abstract:
The classical Schur algebra S_K(n,d) can be described as (M_n(K)^⊗d)^S_d - the subalgebra of the tensor product of d copies of M_n(K) invariant under the natural permutation action of the symmetric group on d letters. The representation type of the classical Schur algebras was determined by Doty, Erdmann, Martin and Nakano. In recent work, Evseev and Kleshchev introduced the generalised Schur algebra S^A(n, d):= (M_n(A)^⊗d)^S_d for A an arbitrary finite-dimensional K-algebra. We determine the representation type of S^A(n, d) in the case where A is a semisimple algebra and describe some work in progress in the direction of deciding the representation type for more general algebras A.