Involutions of Double Affine Hecke Algebras |
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Authors: | Bogdan Ion |
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Affiliation: | (1) Department of Mathematics, Princeton University, Princeton, NJ-, 08544, U.S.A. |
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Abstract: | ![]() We prove the existence of an involution on double affine Hecke algebras. This involution plays a central role in the theory of Macdonald polynomials, being responsible for a Fourier type duality and allowing the construction of affine intertwiners. |
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Keywords: | Artin group fundamental group Hecke algebra Macdonald polynomials regular orbits space |
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