On polynomial representations of classical strange Lie superalgebras

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.

31 pages

References in corpus (2)

• On representations of the Lie superalgebra p(n)
• Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra q(n)