An Anick type wild automorphism of free Poisson algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929411495821312 |
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| author | Shestakov, Ivan Zhang, Zerui |
| author_facet | Shestakov, Ivan Zhang, Zerui |
| contents | We construct an Anick type wild automorphism $δ$ in a 3-generated free Poisson algebra which induces a tame automorphism in a 3-generated polynomial algebra. We also show that $δ$ is stably tame.
Dedicated to the memory of professor V.A.Roman'kov |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_04919 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Anick type wild automorphism of free Poisson algebras Shestakov, Ivan Zhang, Zerui Rings and Algebras 08A35, 17A30, 17A50 We construct an Anick type wild automorphism $δ$ in a 3-generated free Poisson algebra which induces a tame automorphism in a 3-generated polynomial algebra. We also show that $δ$ is stably tame. Dedicated to the memory of professor V.A.Roman'kov |
| title | An Anick type wild automorphism of free Poisson algebras |
| topic | Rings and Algebras 08A35, 17A30, 17A50 |
| url | https://arxiv.org/abs/2407.04919 |