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| Format: | Preprint |
| Publié: |
2022
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2211.03139 |
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| _version_ | 1866918302446518272 |
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| author | Situ, Quan |
| author_facet | Situ, Quan |
| contents | We establish an algebra isomorphism between the center of the category $\mathcal{O}$ for a hybrid quantum group at a root of unity $ζ$ and the cohomology of $ζ$-fixed locus on affine Grassmannian. A deformed version of this isomorphism was established in the previous paper of the author. For the Steinberg block of $\mathcal{O}$, we construct an abelian equivalence to the category of equivariant sheaves on the Springer resolution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_03139 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Center of the category $\mathcal{O}$ for a hybrid quantum group Situ, Quan Representation Theory Quantum Algebra 20G42 We establish an algebra isomorphism between the center of the category $\mathcal{O}$ for a hybrid quantum group at a root of unity $ζ$ and the cohomology of $ζ$-fixed locus on affine Grassmannian. A deformed version of this isomorphism was established in the previous paper of the author. For the Steinberg block of $\mathcal{O}$, we construct an abelian equivalence to the category of equivariant sheaves on the Springer resolution. |
| title | Center of the category $\mathcal{O}$ for a hybrid quantum group |
| topic | Representation Theory Quantum Algebra 20G42 |
| url | https://arxiv.org/abs/2211.03139 |