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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2008 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2008
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149009 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Some Orthogonal Polynomials in Four Variables / C.F. Dunkl // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 5 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862616826034257920 |
|---|---|
| author | Dunkl, C.F. |
| author_facet | Dunkl, C.F. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T13:10:09Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149009 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T13:10:09Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Some Orthogonal Polynomials in Four Variables Dunkl, C.F. |
| title | 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_short | Some Orthogonal Polynomials in Four Variables |
| title_sort | some orthogonal polynomials in four variables |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149009 |
| work_keys_str_mv | AT dunklcf someorthogonalpolynomialsinfourvariables |