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Geometric construction of Schur algebras

Li Luo, Zheming Xu, Yang Yang

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Source: Crossref

Published: May 1, 2026

DOI: 10.1112/jlms.70558

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Source abstract

Abstract We provide the geometric construction of a series of generalized Schur algebras of any type via Borel–Moore homology and equivariant K‐groups of generalized Steinberg varieties. As applications, we present a Schur algebra analogue of Langlands reciprocity of any type, provide an equivariant K‐theoretic realization of quasi‐split groups of affine type AIII, and establish a geometric Howe duality for affine (‐)quantum groups.

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