The ${\rm Jacobian Conjecture}_{2n}$ implies the ${\rm Dixmier Problem}

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106174Using the author's inversion formula for automorphisms of the Weyl algebras with polynomial coefficients and the bound on its degree a slightly shorter (algebraic) proof is given of the result of A. Belov-Kanel and M. Kontsevich that the Jacobian Conjecture implies the Dixmier Proplem. No originality is claimed.3 pagesRings and AlgebrasCommutative AlgebraAlgebraic Geometry14R15, 14H37, 16S32The ${\rm Jacobian Conjecture}_{2n}$ implies the ${\rm Dixmier Problem}_n$text