2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135789We give a criterion for the Kac conjecture asserting that the free term of the polynomial counting the absolutely indecomposable representations of a quiver over a finite field of given dimension coincides with the corresponding root multiplicity of the associated Kac-Moody algebra. Our criterion suits very well for computer tests.Representation Theory16G20text