Invariants of Unimodular Quadratic Polynomial Poisson Algebras of Dimension 3
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866916191574949888 |
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| author | Ma, Chengyuan |
| author_facet | Ma, Chengyuan |
| contents | Let $P = \Bbbk[x1,x2,x3]$ be a unimodular quadratic Poisson algebra and let $G$ be a finite subgroup of the graded Poisson automorphism group of $P$. In this paper, we prove a variant of the Shephard-Todd-Chevalley theorem for $P$ and variants the Shephard-Todd-Chevalley theorem and the Watanabe theorem for its Poisson enveloping algebra $U(P)$ under the induced group $\widetilde{G}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_13588 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Invariants of Unimodular Quadratic Polynomial Poisson Algebras of Dimension 3 Ma, Chengyuan Rings and Algebras Let $P = \Bbbk[x1,x2,x3]$ be a unimodular quadratic Poisson algebra and let $G$ be a finite subgroup of the graded Poisson automorphism group of $P$. In this paper, we prove a variant of the Shephard-Todd-Chevalley theorem for $P$ and variants the Shephard-Todd-Chevalley theorem and the Watanabe theorem for its Poisson enveloping algebra $U(P)$ under the induced group $\widetilde{G}$. |
| title | Invariants of Unimodular Quadratic Polynomial Poisson Algebras of Dimension 3 |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2302.13588 |