Representation theory of sl(2|1)

Details Representation theory of sl(2|1) Representation theory of sl(2|1)

2005-04-29

arxiv.org/abs/hep-th/0504234v2

J.Algebra312:829-848,2007

Physics

High Energy Physics

High Energy Physics - Theory

26pp, v2: minor typos corrected

Scientific paper

10.1016/j.jalgebra.2007.03.012

In this note we present a complete analysis of finite dimensional
representations of the Lie superalgebra sl(2|1). This includes, in particular,
the decomposition of all tensor products into their indecomposable building
blocks. Our derivation makes use of a close relation with the representation
theory of gl(1|1) for which analogous results are described and derived.

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