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

V. V. Bavula

arxiv: math/0512250 · v1 · submitted 2005-12-12 · 🧮 math.RA · math.AC· math.AG

The {rm Jacobian Conjecture}_(2n) implies the {rm Dixmier Problem}_n

V. V. Bavula This is my paper

classification 🧮 math.RA math.ACmath.AG

keywords conjecturedixmierimpliesjacobianalgebraicalgebrasauthorautomorphisms

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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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The {rm Jacobian Conjecture}_(2n) implies the {rm Dixmier Problem}_n

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