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arXiv · 2410.06959

The Conjecture of Dixmier for the first Weyl algebra is true

Alexander Zheglov
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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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BibTeXRIS

Alexander Zheglov. 2026-01-19. The Conjecture of Dixmier for the first Weyl algebra is true. https://arxiv.org/abs/2410.06959

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