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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2008 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2008
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149009 |
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| 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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Dunkl, C.F. 2019-02-19T12:56:06Z 2019-02-19T12:56:06Z 2008 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 https://nasplib.isofts.kiev.ua/handle/123456789/149009 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. This paper is a contribution to the Special Issue on Dunkl Operators and Related Topics. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Some Orthogonal Polynomials in Four Variables Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Some Orthogonal Polynomials in Four Variables |
| spellingShingle |
Some Orthogonal Polynomials in Four Variables Dunkl, C.F. |
| title_short |
Some Orthogonal Polynomials in Four Variables |
| title_full |
Some Orthogonal Polynomials in Four Variables |
| title_fullStr |
Some Orthogonal Polynomials in Four Variables |
| title_full_unstemmed |
Some Orthogonal Polynomials in Four Variables |
| title_sort |
some orthogonal polynomials in four variables |
| author |
Dunkl, C.F. |
| author_facet |
Dunkl, C.F. |
| publishDate |
2008 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149009 |
| citation_txt |
Some Orthogonal Polynomials in Four Variables / C.F. Dunkl // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 5 назв. — англ. |
| work_keys_str_mv |
AT dunklcf someorthogonalpolynomialsinfourvariables |
| first_indexed |
2025-12-07T13:10:09Z |
| last_indexed |
2025-12-07T13:10:09Z |
| _version_ |
1850855138997043200 |