2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77852Here we propose a way to construct generalized Kostka polynomials. Namely, we construct an equivariant filtration on tensor products of irreducible representations. Further, we discuss properties of the filtration and the adjoint graded space. Finally, we apply the construction to computation of coinvariants of current algebras.24 pages, LaTeX ; to appear in D.Fuchs 60-th anniversary volume. Subsection 3.4 removedQuantum AlgebraRepresentation Theory17B10; 81T40On generalized Kostka polynomials and quantum Verlinde ruletext