On Cherednik-Macdonald-Mehta identities
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In this note we give a short proof of Cherednik's generalization of Macdonald-Mehta identities for the root system $A_{n-1}$ using the representation theory of quantum groups. These identities, suggested and proved by Cherednik, give an explicit formula for the integral of a product of Macdonald polynomials with respect to a ``difference analogue of the Gaussian measure''.
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Cited by 2 Pith papers
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Elliptic Generalization of Cherednik-Macdonald-Mehta identities
An elliptic generalization of Cherednik-Macdonald-Mehta identities is introduced using Shiraishi functions, with an elliptic matrix model and a proof to first order in the elliptic parameter.
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