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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| Дата: | 2008 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2008
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | 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 |
| 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| id |
irk-123456789-149009 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1490092019-02-20T01:23:54Z Some Orthogonal Polynomials in Four Variables Dunkl, C.F. 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. 2008 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Dunkl, C.F. |
| spellingShingle |
Dunkl, C.F. Some Orthogonal Polynomials in Four Variables Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Dunkl, C.F. |
| author_sort |
Dunkl, C.F. |
| title |
Some Orthogonal Polynomials in Four Variables |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT dunklcf someorthogonalpolynomialsinfourvariables |
| first_indexed |
2023-05-20T17:31:26Z |
| last_indexed |
2023-05-20T17:31:26Z |
| _version_ |
1796153492457390080 |