Morita equivalence problem for symplectic reflection algebras
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909161860628480 |
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| author | Tikaradze, Akaki |
| author_facet | Tikaradze, Akaki |
| contents | In this paper we fully solve the Morita equivalence problem for symplectic reflection algebras associated to direct products of finite subgroups of $SL_2(\mathbb{C})$. Namely, given a pair of such symplectic reflection algebras $H_c, H_{c'}$,then $H_c$ is Morita equivalent to $H_c'$ if and only if they are related by a standard Morita equivalence. We also establish new cases for Morita classification problem for type A rational Cherednik algebras. Our approach crucially relies on the reduction modulo large primes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03811 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Morita equivalence problem for symplectic reflection algebras Tikaradze, Akaki Representation Theory Quantum Algebra In this paper we fully solve the Morita equivalence problem for symplectic reflection algebras associated to direct products of finite subgroups of $SL_2(\mathbb{C})$. Namely, given a pair of such symplectic reflection algebras $H_c, H_{c'}$,then $H_c$ is Morita equivalent to $H_c'$ if and only if they are related by a standard Morita equivalence. We also establish new cases for Morita classification problem for type A rational Cherednik algebras. Our approach crucially relies on the reduction modulo large primes. |
| title | Morita equivalence problem for symplectic reflection algebras |
| topic | Representation Theory Quantum Algebra |
| url | https://arxiv.org/abs/2404.03811 |