Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent 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{Chiha...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2014 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2014
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146401 |
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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. Mazzocco // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862666574130839552 |
|---|---|
| author | Mazzocco, M. |
| author_facet | Mazzocco, M. |
| citation_txt | Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras / M. Mazzocco // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T15:20:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146401 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| language | English |
| last_indexed | 2025-12-07T15:20:47Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Mazzocco, M. 2019-02-09T11:02:55Z 2019-02-09T11:02:55Z 2014 Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras / M. Mazzocco // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — англ. 2010 Mathematics Subject Classification: 33D80; 33D52; 16T99 https://nasplib.isofts.kiev.ua/handle/123456789/146401 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. The author is specially grateful to T. Koornwinder and J. Stokman for interesting discussions
 on this subject and the referees for pointing out references, typos and giving suggestions on how
 to improve the presentation of the main results en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras Article published earlier |
| spellingShingle | Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras Mazzocco, M. |
| title | Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras |
| title_full | Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras |
| title_fullStr | Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras |
| title_full_unstemmed | Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras |
| title_short | Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras |
| title_sort | non-symmetric basic hypergeometric polynomials and representation theory for conf luent cherednik algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146401 |
| work_keys_str_mv | AT mazzoccom nonsymmetricbasichypergeometricpolynomialsandrepresentationtheoryforconfluentcherednikalgebras |