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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
145/2006

Decompositions of the tensor products of irreducible ${\mathfrak{sl}(2)}$-modules in characteristic 3

Brian Clarke

Abstract

We completely describe the decompositions (into indecomposable submodules) of the tensor products of irreducible ${\mathfrak{sl}(2)}$-modules in characteristic 3. The answer resembles analogous decompositions for Lie superalgebras.

Received:
Dec 8, 2006
Published:
Dec 8, 2006
Keywords:
Lie algebras, representation theory, Finite characteristic

Related publications

Preprint
2006 Repository Open Access
Brian Clarke

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