Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras
In this paper we introduce a basic representation for the confluent Cherednik algebras HV, HIII, HD7III and HD8III defined in arXiv:1307.6140. To prove faithfulness of this basic representation, we introduce the non-symmetric versions of the continuous dual q-Hahn, Al-Salam{Chihara, continuous big...
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| Дата: | 2014 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146185 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras / M. Mazzoco // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 7 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1461852019-02-09T01:23:27Z Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras Mazzocco, M. In this paper we introduce a basic representation for the confluent Cherednik algebras HV, HIII, HD7III and HD8III defined in arXiv:1307.6140. To prove faithfulness of this basic representation, we introduce the non-symmetric versions of the continuous dual q-Hahn, Al-Salam{Chihara, continuous big q-Hermite and continuous q-Hermite polynomials. 2014 Article Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras / M. Mazzoco // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 7 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 33D80; 33D52; 16T99 http://dspace.nbuv.gov.ua/handle/123456789/146185 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 |
In this paper we introduce a basic representation for the confluent Cherednik
algebras HV, HIII, HD7III and HD8III defined in arXiv:1307.6140. To prove faithfulness of this basic representation, we introduce the non-symmetric versions of the continuous dual q-Hahn, Al-Salam{Chihara, continuous big q-Hermite and continuous q-Hermite polynomials. |
| format |
Article |
| author |
Mazzocco, M. |
| spellingShingle |
Mazzocco, M. Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Mazzocco, M. |
| author_sort |
Mazzocco, M. |
| title |
Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras |
| title_short |
Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras |
| title_full |
Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras |
| title_fullStr |
Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras |
| title_full_unstemmed |
Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras |
| title_sort |
non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146185 |
| citation_txt |
Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras / M. Mazzoco // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 7 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT mazzoccom nonsymmetricbasichypergeometricpolynomialsandrepresentationtheoryforconfluentcherednikalgebras |
| first_indexed |
2025-07-10T23:22:00Z |
| last_indexed |
2025-07-10T23:22:00Z |
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