Some Orthogonal Polynomials in Four Variables

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...

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Datum:2008
1. Verfasser: Dunkl, C.F.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2008
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/149009
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Some Orthogonal Polynomials in Four Variables / C.F. Dunkl // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 5 назв. — англ.

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