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arXiv · 2411.18273

Geometric construction of Schur algebras

Li Luo·Zheming Xu·Yang Yang
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Abstract

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.

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BibTeXRIS

Li Luo, Zheming Xu, Yang Yang. 2024-11-27. Geometric construction of Schur algebras. https://arxiv.org/abs/2411.18273

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