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Some Orthogonal Polynomials in Four Variables

Vernadsky National Library of Ukraine

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Title Some Orthogonal Polynomials in Four Variables
 
Creator Dunkl, C.F.
 
Description The symmetric group on 4 letters has the reflection group D₃ as an isomorphic image. This fact follows from the coincidence of the root systems A₃ and D₃. 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.
 
Date 2019-02-19T12:56:06Z
2019-02-19T12:56:06Z
2008
 
Type Article
 
Identifier Some Orthogonal Polynomials in Four Variables / C.F. Dunkl // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 5 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 33C52; 05E35; 37J35
http://dspace.nbuv.gov.ua/handle/123456789/149009
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України