2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106156The inversion formula is given for automorphisms of the Weyl algebras with polynomial coefficients over a field of characteristic zero. The theorem of Gabber on the degree of polynomial automorphism is extended. It is proved that any automorphism of the Weyl algebra with polynomial coefficients is determined by its left (right) faces (extending the result of J. H. McKay and S. S.-S. Wang for polynomial automorphisms).18 pagesRings and AlgebrasAlgebraic Geometry13N10, 13N15, 14R15, 14H37, 16S32The inversion formula for automorphisms of the Weyl algebras and polynomial algebrastext