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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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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