2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61043The role of Spaltenstein varieties in the tensor product for GL is explained. In particular a direct (non-combinatorial) proof of the fact that the number of irreducible components of a Spaltenstein variety is equal to a Littlewood-Richardson coefficient (i.e. certain tensor product multiplicity) is obtained.Algebraic GeometryCombinatoricsRepresentation Theorytext