2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124887Given a reductive algebraic group $G$ and a finite dimensional algebraic $G$-module $V$, we study how close is the algebra of $G$-invariant polynomials on $V^{\oplus n}$ to the subalgebra generated by polarizations of $G$-invariant polynomials on $V$. We address this problem in a more general setting of $G$-actions on arbitrary affine varieties.15 pagesAlgebraic Geometry14L24; 14L30text