Geometric construction of Schur algebras
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.
Fields of Study & Subjects
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Advanced Algebra and Logic
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 113
- Issue
- 5
- Publication date
- 1 May 2026
- Language
- EN