A Selberg integral for the Lie algebra A_n
Classical Analysis and ODEs
2009-12-11 v1 Combinatorics
Quantum Algebra
Abstract
A new q-binomial theorem for Macdonald polynomials is employed to prove an A_n analogue of the celebrated Selberg integral. This confirms the g=A_n case of a conjecture by Mukhin and Varchenko concerning the existence of a Selberg integral for every simple Lie algebra g.
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Cite
@article{arxiv.0708.1193,
title = {A Selberg integral for the Lie algebra A_n},
author = {S. Ole Warnaar},
journal= {arXiv preprint arXiv:0708.1193},
year = {2009}
}
Comments
32 pages