The sl3 Selberg integral

被引：12
作者：
Warnaar, S. Ole [1 ]
机构：
[1] Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia
来源：
ADVANCES IN MATHEMATICS | 2010年 / 224卷 / 02期
基金：
澳大利亚研究理事会;
关键词：
Selberg integral; Macdonald polynomials; Mukhin-Varchenko conjecture;
D O I：
10.1016/j.aim.2009.11.011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using an extension of the well evaluation symmetry, a new Cauchy-type identity tor 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-Selherg integral and an extension of the q-Selberg in to a transformation between q-integrals of different dimensions. (C) 2009 Elsevier Inc. All rights reserved.
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页码：499 / 524
页数：26
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