On polynomial representations of classical strange Lie superalgebras

Details On polynomial representations of classical strange Lie superalgebras On polynomial representations of classical strange Lie superalgebras

2010-01-20

arxiv.org/abs/1001.3471v1

Mathematics

Representation Theory

31 pages

Scientific paper

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.

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