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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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/123456789/146185 |
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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. Mazzoco // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 7 назв. — англ. |