Quantum Harish-Chandra isomorphism for the double affine Hecke algebra of GL n

Journal de l’École polytechnique — Mathématiques 2026 Open access

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Authors: Joshua Jeishing Wen
DOI: 10.5802/jep.326
Cited by: 0
References: 42

Abstract

We prove that for generic parameters, the quantum radial parts map of Varagnolo and Vasserot gives an isomorphism between the spherical double affine Hecke algebra of GL n and a quantized multiplicative quiver variety, as defined by Jordan.

Fields of Study & Subjects

Advanced Algebra and Geometry Algebraic structures and combinatorial models Algebraic Geometry and Number Theory

Publication details

Journal / source
Journal de l’École polytechnique — Mathématiques
Volume
13
Pages
203–254
Publication date
20 January 2026
Language
EN