Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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dc.contributor.author	Mazzocco, M.
dc.date.accessioned	2019-02-09T11:02:55Z
dc.date.available	2019-02-09T11:02:55Z
dc.date.issued	2014
dc.identifier.citation	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.	uk_UA
dc.identifier.other	2010 Mathematics Subject Classification: 33D80; 33D52; 16T99
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146401
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	The author is specially grateful to T. Koornwinder and J. Stokman for interesting discussions on this subject and the referees for pointing out references, typos and giving suggestions on how to improve the presentation of the main results	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Non-Symmetric Basic Hypergeometric Polynomials and Representation Theory for Conf luent Cherednik Algebras	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA