Derived equivalences for trigonometric double affine Hecke algebras
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866912483294314496 |
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| author | Liu, Wille |
| author_facet | Liu, Wille |
| contents | The trigonometric double affine Hecke algebra $\mathbf{H}_c$ for an irreducible root system depends on a family of complex parameters $c$ Given two families of parameters $c$ and $c'$ which differ by integers, we construct the translation functor from $\mathbf{H}_{c}\operatorname{-Mod}$ to $\mathbf{H}_{c'}\operatorname{-Mod}$ and prove that it induces equivalence of derived categories. This is a trigonometric counterpart of a theorem of Losev on the derived equivalences for rational Cherednik algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_14273 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Derived equivalences for trigonometric double affine Hecke algebras Liu, Wille Representation Theory The trigonometric double affine Hecke algebra $\mathbf{H}_c$ for an irreducible root system depends on a family of complex parameters $c$ Given two families of parameters $c$ and $c'$ which differ by integers, we construct the translation functor from $\mathbf{H}_{c}\operatorname{-Mod}$ to $\mathbf{H}_{c'}\operatorname{-Mod}$ and prove that it induces equivalence of derived categories. This is a trigonometric counterpart of a theorem of Losev on the derived equivalences for rational Cherednik algebras. |
| title | Derived equivalences for trigonometric double affine Hecke algebras |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2209.14273 |