Geometric construction of Schur algebras

Autor: Luo, Li, Xu, Zheming, Yang, Yang
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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 finite 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.
Comment: 50 pages
Databáze: arXiv