Some Orthogonal Polynomials in Four Variables

被引：0

作者：

Dunkl, Charles F. ^{[1
]}

机构：

[1] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2008年 / 4卷

关键词：

nonsymmetric Jack polynomials;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The symmetric group on 4 letters has the reflection group D-3 as an isomorphic image. This fact follows from the coincidence of the root systems A(3) and D-3. The isomorphism is used to construct an orthogonal basis of polynomials of 4 variables with 2 parameters. There is an associated quantum Calogero-Sutherland model of 4 identical particles on the line.

引用

页数：9

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