2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116360Let G be a reductive complex algebraic group and V a finite-dimensional G-module. From elements of the invariant algebra C[V]^G we obtain by polarization elements of C[kV]^G, where k\geq 1 and kV denotes the direct sum of k copies of V. For G simple our main result is the classification of the G-modules V and integers k\geq 2 such that polarizations generate C[kV]^G.More general results, proofs improved, references addedRepresentation TheoryGroup Theory14L30, 20C15, 20G20text