2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64091We 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.Representation TheoryGroup Theorytext