Decomposition of tensor products of modular irreducibles for $\SL_2$

Details Decomposition of tensor products of modular irreducibles for $\SL_2$ Decomposition of tensor products of modular irreducibles for $\SL_2$

2002-05-16

arxiv.org/abs/math/0205186v1

Mathematics

Representation Theory

Scientific paper

We use tilting modules to study the structure of the tensor product of two
simple modules for the algebraic group $\SL_2$, 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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