Mathematics – Representation Theory
Scientific paper
2004-11-17
Mathematics
Representation Theory
21 pages
Scientific paper
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.
Hemmer David J.
Kujawa Jonathan
Nakano Daniel K.
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