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arxiv: hep-th/0504234 · v2 · submitted 2005-04-29 · ✦ hep-th · cond-mat.stat-mech· math-ph· math.MP· math.RT

Representation theory of sl(2|1)

classification ✦ hep-th cond-mat.stat-mechmath-phmath.MPmath.RT
keywords representationtheoryanalogousanalysisblocksbuildingclosecomplete
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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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