Representation type of Schur superalgebras

2004/11/17 by David J. Hemmer, Hemmer, David J., Jonathan Kujawa +3
Mathematics · #16G60 #20C30 #20G05 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:16G60 #msc:20C30 #msc:20G05

paper · pdf · doi:10.48550/arxiv.math/0411390

21 pages

arxiv created 2004/11/17 · arxiv updated 2009/12/01

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.

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