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This article is cited in 2 scientific papers (total in 2 papers)
Some Orthogonal Polynomials in Four Variables
Charles F. Dunkl Department of Mathematics, University of Virginia, Charlottesville, VA 22904-4137, USA
Abstract:
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.
Keywords:
nonsymmetric Jack polynomials.
Received: October 14, 2008; in final form November 24, 2008; Published online November 29, 2008
Citation:
Charles F. Dunkl, “Some Orthogonal Polynomials in Four Variables”, SIGMA, 4 (2008), 082, 9 pp.
Linking options:
https://www.mathnet.ru/eng/sigma335 https://www.mathnet.ru/eng/sigma/v4/p82
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Abstract page: | 163 | Full-text PDF : | 40 | References: | 36 |
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