Generalized Cherednik-Macdonald identities
Quantum Algebra
2007-08-08 v1 Classical Analysis and ODEs
Abstract
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.
Cite
@article{arxiv.0708.0934,
title = {Generalized Cherednik-Macdonald identities},
author = {Jasper V. Stokman},
journal= {arXiv preprint arXiv:0708.0934},
year = {2007}
}
Comments
13 pages