Representation type of Schur superalgebras

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 (that is, we classify the ones which are semisimple, have finite, tame and wild represen...

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Published inJournal of group theory Vol. 9; no. 3; pp. 283 - 306
Main Authors Hemmer, David J, Kujawa, Jonathan, Nakano, Daniel K
Format Journal Article
LanguageEnglish
Published Walter de Gruyter 01.05.2006
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Summary: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 (that is, we 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.
Bibliography:jgt.2006.019.pdf
Communicated by R. M. Guralnick
istex:E7FBB136E6A1CA8D25D4F475710B16ADC1D4BB25
ark:/67375/QT4-2D609S63-J
ArticleID:jgth.9.3.283
ISSN:1433-5883
1435-4446
DOI:10.1515/JGT.2006.019