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Quantum Harish-Chandra isomorphism for the double affine Hecke algebra of $GL_n$ (2309.00823v3)
Published 2 Sep 2023 in math.QA and math.RT
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.