The Conjecture of Dixmier for the first Weyl algebra is true

Published 9 Oct 2024 in math.RA, math-ph, math.AG, math.MP, and math.QA | (2410.06959v4)

Abstract: Let $K$ be a field of characteristic zero, let $A_1=K[x][\partial ]$ be the first Weyl algebra. In this paper we prove that the Dixmier conjecture for the first Weyl algebra is true, i.e. each algebra endomorphism of the algebra $A_1$ is an automorphism.

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Alexander Zheglov

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