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.

引用

页码：499 / 524

页数：26