2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61903Let V be a simple vertex operator algebra and let G be a finite automorphism group of V. In [DY], it was shown that any irreducible V-module is a completely reducible V^G-module where V^G is the G-invariant sub-vertex operator algebra of V. In this paper, we give an alternative proof of this fact using the theory of skew group algebras. We also extend this result to any irreducible g-twisted V-module when g is in the center of G and V is a g-rational vertex operator algebra.15 pages. To appear in Journal of AlgebraQuantum Algebra17B69text