The Conjecture of Dixmier for the first Weyl algebra is true
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911385254887424 |
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| author | Zheglov, Alexander |
| author_facet | Zheglov, Alexander |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06959 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Conjecture of Dixmier for the first Weyl algebra is true Zheglov, Alexander Rings and Algebras Mathematical Physics Algebraic Geometry Quantum Algebra 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. |
| title | The Conjecture of Dixmier for the first Weyl algebra is true |
| topic | Rings and Algebras Mathematical Physics Algebraic Geometry Quantum Algebra |
| url | https://arxiv.org/abs/2410.06959 |