What question did this study set out to answer?

The central aim is to establish an isomorphism involving the spherical double affine Hecke algebra for GLn under generic parameters.

January 22, 2026Open Access

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

JWJoshua Jeishing WenUniversity of Vienna

Key Points

The central aim is to establish an isomorphism involving the spherical double affine Hecke algebra for GLn under generic parameters.
Proving the quantum radial parts map of Varagnolo and Vasserot.
Applying algebraic techniques related to double affine Hecke algebras.
Using definitions and properties of quiver varieties as introduced by Jordan.
Demonstrated an isomorphism between the spherical double affine Hecke algebra of GLn and a quantized multiplicative quiver variety.
Showed this holds true for generic parameters, broadening the implications of the isomorphism.

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.

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Cite This Study

Joshua Jeishing Wen (Tue,) studied this question.

synapsesocial.com/papers/6971be8d642b1836717e3295 https://doi.org/https://doi.org/10.5802/jep.326

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