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.
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页数：9
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