2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76006We study structure of the semigroup Tens(G) consisting of triples of dominant weights (λ,μ,ν) of a complex reductive Lie group G such that the triple tensor product of the corresponding irreducible representations of G has a nonzero G-invariant vector. We prove two general structural results for Tens(G) and give an explicit computation of Tens(G) for G=Sp(4,C) and G=G_2.46 pagesRepresentation TheoryGroup Theorytext