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Modular representations of the special linear groups with small weight multiplicities

Authors
  • Baranov, Alexander
  • Osinovskaya, Anna
  • Suprunenko, Irina
Type
Published Article
Publication Date
Sep 30, 2013
Submission Date
Jul 30, 2012
Identifiers
arXiv ID: 1207.7116
Source
arXiv
License
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External links

Abstract

We classify irreducible representations of the special linear groups in positive characteristic with small weight multiplicities with respect to the group rank and give estimates for the maximal weight multiplicities. For the natural embeddings of the classical groups, inductive systems of representations with totally bounded weight multiplicities are classified. An analogue of the Steinberg tensor product theorem for arbitrary indecomposable inductive systems for such embeddings is proved.

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