Decomposition of tensor products of modular irreducibles for SL₂
classification
🧮 math.RT
math.GR
keywords
tensormodulesproductalgebraiccharacteristiccomputeddecompositiondirect
read the original abstract
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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