Hecke symmetries associated with twisted polynomial algebras in 3 indeterminates
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866912125591486464 |
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| author | Shishmarov, Nikita Skryabin, Serge |
| author_facet | Shishmarov, Nikita Skryabin, Serge |
| contents | We consider Hecke symmetries on a 3-dimensional vector space with the associated R-symmetric algebra isomorphic to the polynomial algebra $k[x_1,x_2,x_3]$ twisted by an automorphism. The main result states that any such a Hecke symmetry is itself a twist of a Hecke symmetry with the associated R-symmetric algebra isomorphic to $k[x_1,x_2,x_3]$. This allows us to describe equivalence classes of such Hecke symmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16420 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hecke symmetries associated with twisted polynomial algebras in 3 indeterminates Shishmarov, Nikita Skryabin, Serge Rings and Algebras 16T25 We consider Hecke symmetries on a 3-dimensional vector space with the associated R-symmetric algebra isomorphic to the polynomial algebra $k[x_1,x_2,x_3]$ twisted by an automorphism. The main result states that any such a Hecke symmetry is itself a twist of a Hecke symmetry with the associated R-symmetric algebra isomorphic to $k[x_1,x_2,x_3]$. This allows us to describe equivalence classes of such Hecke symmetries. |
| title | Hecke symmetries associated with twisted polynomial algebras in 3 indeterminates |
| topic | Rings and Algebras 16T25 |
| url | https://arxiv.org/abs/2404.16420 |