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Representation type of Schur superalgebras
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David J Hemmer
,
Jonathan Kujawa
Published/Copyright:
May 17, 2006
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 (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.
Received: 2004-11-11
Revised: 2005-07-30
Published Online: 2006-05-17
Published in Print: 2006-05-01
© Walter de Gruyter
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- Normally embedded subgroups in direct products
- Around unipotence in groups of finite Morley rank
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Articles in the same Issue
- Representation type of Schur superalgebras
- The direct extension theorem
- The direct product theorem for profinite groups
- Normally embedded subgroups in direct products
- Around unipotence in groups of finite Morley rank
- Carter subgroups in tame groups of finite Morley rank
- The quasi-variety of groups with trivial fourth dimension subgroup
- Embedding groups in locally (soluble-by-finite) simple groups
- Subsemigroups of groups: presentations, Malcev presentations, and automatic structures
