Authors:

David J. Hemmer, Department of Mathematics, University of Toledo

Jonathan Kujawa, Department of Mathematics, University of Georgia

Daniel K. Nakano, Department of Mathematics, University of Georgia

Title: Representation type of Schur superalgebras

Abstract:  Let $S(m|n,d)$ be the Schur superalgebra whose supermodules
correspond to the polynomial representations of the supergroup
$GL(m|n)$ of degree $d$. In this paper we determine the
representation type of these algebras (i.e. classify the ones
which are semisimple, have finite, tame and wild representation
type). Moreover, we prove that these algebras are in general not
quasi-hereditary and have infinite global dimension.

Status:  Submitted.