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{Chihara, continuous b...
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| Date: | 2014 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2014
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/146401 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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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