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| Formato: | Preprint |
| Publicado: |
2020
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2009.14801 |
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| _version_ | 1866908471442538496 |
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| author | Kaygun, Atabey |
| author_facet | Kaygun, Atabey |
| contents | We calculate suitably localized Hochschild homologies of various quantum groups and Podleś spheres after realizing them as generalized Weyl algebras (GWAs). We use the fact that every GWA is birationally equivalent to a smash product with a 1-torus. We also address and solve the birational equivalence problem, and the birational smoothness problem for GWAs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_14801 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Birational Equivalences and Generalized Weyl Algebras Kaygun, Atabey K-Theory and Homology Quantum Algebra Rings and Algebras We calculate suitably localized Hochschild homologies of various quantum groups and Podleś spheres after realizing them as generalized Weyl algebras (GWAs). We use the fact that every GWA is birationally equivalent to a smash product with a 1-torus. We also address and solve the birational equivalence problem, and the birational smoothness problem for GWAs. |
| title | Birational Equivalences and Generalized Weyl Algebras |
| topic | K-Theory and Homology Quantum Algebra Rings and Algebras |
| url | https://arxiv.org/abs/2009.14801 |