Generalized Cherednik-Macdonald identities

Details Generalized Cherednik-Macdonald identities Generalized Cherednik-Macdonald identities

2007-08-07

arxiv.org/abs/0708.0934v1

Mathematics

Quantum Algebra

13 pages

Scientific paper

We derive generalizations of the Cherednik-Macdonald constant term identities associated to root systems which depend, besides on the usual multiplicity function, symmetrically on two quasi-periods. They are natural analogues of the Cherednik-Macdonald constant term q-identities in which the deformation parameter q is allowed to have modulus one. They unite the Cherednik-Macdonald constant term q-identities with closely related Jackson p-integral identities due to Macdonald, where the deformation parameter p is related to q by modular inversion.

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