- Generalized Cherednik-Macdonald identities
- Mathematical Research Letters
- Volume | Issue number
- 15 | 4
- Pages (from-to)
- Document type
- Faculty of Science (FNWI)
- Korteweg-de Vries Institute for Mathematics (KdVI)
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 additional parameters omega +/-. They are natural analogues of the Cherednik-Macdonald constant term q-identities in which the deformation parameter q = exp(2 pi i omega+/omega-) is allowed to have modulus one. They unite the Cherednik-Macdonald constant term q-identities with closely related Jackson (q) over tilde -integral identities due to Macdonald, where the deformation parameter (q) over tilde = exp (-2 pi i omega-/omega+) is related to q by modular inversion.
If you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library, or send a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible.