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Involutions of Double Affine Hecke Algebras
Authors:Bogdan Ion
Affiliation:(1) Department of Mathematics, Princeton University, Princeton, NJ-, 08544, U.S.A.
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.
Keywords:Artin group  fundamental group  Hecke algebra  Macdonald polynomials  regular orbits space
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