A Selberg integral for the Lie algebra An

被引：18
|
作者：
Warnaar, S. Ole [1 ]
机构：
[1] Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia
来源：
ACTA MATHEMATICA | 2009年 / 203卷 / 02期
基金：
澳大利亚研究理事会;
关键词：
MACDONALD; POLYNOMIALS;
D O I：
10.1007/s11511-009-0043-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new q-binomial theorem for Macdonald polynomials is employed to prove an An analogue of the celebrated Selberg integral. This confirms the case of a conjecture by Mukhin and Varchenko concerning the existence of a Selberg integral for every simple Lie algebra. © 2009 Institut Mittag-Leffler.
引用
收藏
页码：269 / 304
页数：36
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