The sl_3 Selberg integral
Classical Analysis and ODEs
2010-06-18 v3 Combinatorics
Quantum Algebra
Abstract
Using an extension of the well-known evaluation symmetry, a new Cauchy-type identity for Macdonald polynomials is proved. After taking the classical limit this yields a new sl_3 generalisation of the famous Selberg integral. Closely related results obtained in this paper are an sl_3-analogue of the Askey-Habsieger-Kadell q-Selberg integral and an extension of the q-Selberg integral to a transformation between q-integrals of different dimensions.
Cite
@article{arxiv.0901.4176,
title = {The sl_3 Selberg integral},
author = {S. Ole Warnaar},
journal= {arXiv preprint arXiv:0901.4176},
year = {2010}
}
Comments
23 pages