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
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
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页码:269 / 304
页数:36
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