Geometric construction of Schur algebras
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917875930890240 |
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| author | Luo, Li Xu, Zheming Yang, Yang |
| author_facet | Luo, Li Xu, Zheming Yang, Yang |
| contents | We provide the geometric construction of a series of generalized Schur algebras of any type via Borel-Moore homologies and equivariant K-groups of generalized Steinberg varieties. As applications, we obtain a Schur algebra analogue of the local geometric Langlands correspondence of any type, provide an equivariant K-theoretic realization of quasi-split $\imath$quantum groups of affine type AIII, and establish a geometric Howe duality for affine ($\imath$-)quantum groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18273 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Geometric construction of Schur algebras Luo, Li Xu, Zheming Yang, Yang Representation Theory Quantum Algebra We provide the geometric construction of a series of generalized Schur algebras of any type via Borel-Moore homologies and equivariant K-groups of generalized Steinberg varieties. As applications, we obtain a Schur algebra analogue of the local geometric Langlands correspondence of any type, provide an equivariant K-theoretic realization of quasi-split $\imath$quantum groups of affine type AIII, and establish a geometric Howe duality for affine ($\imath$-)quantum groups. |
| title | Geometric construction of Schur algebras |
| topic | Representation Theory Quantum Algebra |
| url | https://arxiv.org/abs/2411.18273 |