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

页码：269 / 304

页数：36

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