Decompositions of the tensor products of irreducible 𝔰𝔩(2)-modules in characteristic 3

Brian Clarke

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Submission date: 08. Dec. 2006 (revised version: February 2007)
Pages: 28
Keywords and phrases: Lie algebras, representation theory, Finite characteristic
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Abstract:
We completely describe the decompositions (into indecomposable submodules) of the tensor products of irreducible -modules in characteristic 3. The answer resembles analogous decompositions for Lie superalgebras.