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

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

2005-12-12

arxiv.org/abs/math/0512250v1

Mathematics

Rings and Algebras

3 pages

Scientific paper

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.

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