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, continu...
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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/123456789/146185 |
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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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862752201590439936 |
|---|---|
| author | Mazzocco, M. |
| author_facet | Mazzocco, M. |
| 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. |
| 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 | 2025-12-07T21:15:50Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146185 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:15:50Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Mazzocco, M. 2019-02-08T10:44:15Z 2019-02-08T10:44:15Z 2014 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 https://nasplib.isofts.kiev.ua/handle/123456789/146185 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras Article published earlier |
| spellingShingle | Non-symmetric basic hypergeometric polynomials and representation theory for confluent cherednik algebras Mazzocco, M. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146185 |
| work_keys_str_mv | AT mazzoccom nonsymmetricbasichypergeometricpolynomialsandrepresentationtheoryforconfluentcherednikalgebras |