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

2008/09/22 by Brian Clarke, Clarke, Brian
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math.RT #msc:17B50

paper · pdf · doi:10.48550/arxiv.0809.3672

27 pages; Computational data available at http://personal-homepages.mis.mpg.de/clarke/Homepage/Publications.html

arxiv created 2008/09/22 · arxiv updated 2009/12/01

Abstract

We completely describe the decompositions (into indecomposable submodules) of the tensor products of irreducible sl(2)-modules in characteristic 3. The answer resembles analogous decompositions for the Lie superalgebra sl(1|1).

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