Maximal green sequences for quantum and Poisson CGL extensions
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912967147126784 |
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| author | Yakimov, Milen |
| author_facet | Yakimov, Milen |
| contents | We prove that the quantum and classical cluster algebras for all members of the axiomatically defined classes of symmetric quantum and Poisson Cauchon-Goodearl-Letzter extensions possess maximal green sequences in the sense of Keller. Previously, maximal green sequences were constructed for explicit families of cluster algebras; many of those can be recovered from the general result for CGL extensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14376 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Maximal green sequences for quantum and Poisson CGL extensions Yakimov, Milen Combinatorics Mathematical Physics Quantum Algebra Representation Theory Primary: 13F60, Secondary: 17B37, 53D17 We prove that the quantum and classical cluster algebras for all members of the axiomatically defined classes of symmetric quantum and Poisson Cauchon-Goodearl-Letzter extensions possess maximal green sequences in the sense of Keller. Previously, maximal green sequences were constructed for explicit families of cluster algebras; many of those can be recovered from the general result for CGL extensions. |
| title | Maximal green sequences for quantum and Poisson CGL extensions |
| topic | Combinatorics Mathematical Physics Quantum Algebra Representation Theory Primary: 13F60, Secondary: 17B37, 53D17 |
| url | https://arxiv.org/abs/2603.14376 |