The Lie algebra of polynomial vector fields on the affine space is $2$-generated
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917114183417856 |
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| author | Beldiev, Ivan |
| author_facet | Beldiev, Ivan |
| contents | We prove that the infinite-dimensional Lie algebra of polynomial vector fields on the affine space $\KK^n$ is generated by two explicitly given elements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_00604 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Lie algebra of polynomial vector fields on the affine space is $2$-generated Beldiev, Ivan Algebraic Geometry Primary 13N15, 17B66, Secondary 14R10, 17B65 We prove that the infinite-dimensional Lie algebra of polynomial vector fields on the affine space $\KK^n$ is generated by two explicitly given elements. |
| title | The Lie algebra of polynomial vector fields on the affine space is $2$-generated |
| topic | Algebraic Geometry Primary 13N15, 17B66, Secondary 14R10, 17B65 |
| url | https://arxiv.org/abs/2512.00604 |