Proves an isomorphism between the spherical double affine Hecke algebra and a quiver variety, indicating a deep connection in algebraic structures.
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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Joshua Jeishing Wen (2026) studied this question.
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