Twists of twisted generalized Weyl algebras
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913380251467776 |
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| author | Gaddis, Jason Rosso, Daniele |
| author_facet | Gaddis, Jason Rosso, Daniele |
| contents | We study graded twisted tensor products and graded twists of twisted generalized Weyl algebras (TGWAs). We show that the class of TGWAs is closed under these operations assuming mild hypotheses. We generalize a result on cocycle equivalence amongst multiparameter quantized Weyl algebras to the setting of TGWAs. As another application we prove that certain TGWAs of type $A_2$ are noetherian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04172 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Twists of twisted generalized Weyl algebras Gaddis, Jason Rosso, Daniele Rings and Algebras Quantum Algebra 16W50 (Primary) 16S32, 16W22, 16D90 (Secondary) We study graded twisted tensor products and graded twists of twisted generalized Weyl algebras (TGWAs). We show that the class of TGWAs is closed under these operations assuming mild hypotheses. We generalize a result on cocycle equivalence amongst multiparameter quantized Weyl algebras to the setting of TGWAs. As another application we prove that certain TGWAs of type $A_2$ are noetherian. |
| title | Twists of twisted generalized Weyl algebras |
| topic | Rings and Algebras Quantum Algebra 16W50 (Primary) 16S32, 16W22, 16D90 (Secondary) |
| url | https://arxiv.org/abs/2406.04172 |