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On polynomial representations of classical strange Lie superalgebras

Representation Theory 2010-01-21 v1

Abstract

In this paper, various polynomial representations of strange classical Lie superalgebras are investigated. It turns out that the representations for the algebras of type P are indecomposable, and we obtain the composition series of the underlying modules. As modules of the algebras of type Q, the polynomial algebras are decomposed into a direct sum of irreducible submodules.

Keywords

Cite

@article{arxiv.1001.3471,
  title  = {On polynomial representations of classical strange Lie superalgebras},
  author = {Cuiling Luo},
  journal= {arXiv preprint arXiv:1001.3471},
  year   = {2010}
}

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31 pages