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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Datum:2014
1. Verfasser: Mazzocco, M.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2014
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang: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
Zitieren: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.

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