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Decomposition of tensor products of modular irreducibles for 2

Stephen Doty, Anne Henke

math.RTarXiv:math/0205186

Abstract

We use tilting modules to study the structure of the tensor product of two simple modules for the algebraic group 2, in positive characteristic, obtaining a twisted tensor product theorem for its indecomposable direct summands. Various other related results are obtained, and numerous examples are computed.

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