The ${\mathrm{JacobianConjecture}}_{2n}$ implies the ${\mathrm{DixmierProblem}}_n$

Abstract

Using 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 pages