The Universal Askey-Wilson Algebra and the Equitable Presentation of Uq(sl₂)

dc.contributor.author	Terwilliger, P.
dc.date.accessioned	2019-02-16T12:45:20Z
dc.date.available	2019-02-16T12:45:20Z
dc.date.issued	2011
dc.description.abstract	Around 1992 A. Zhedanov introduced the Askey-Wilson algebra AW(3). Recently we introduced a central extension Δ of AW(3) called the universal Askey-Wilson algebra. In this paper we discuss a connection between Δ and the quantum algebra Uq(sl₂). Our main result is an algebra injection from Δ into a relative of Uq(sl₂); the relative is obtained from Uq(sl₂) by adjoining three mutually commuting indeterminates. We describe the injection using the equitable presentation of Uq(sl₂).	uk_UA
dc.identifier.citation	The Universal Askey-Wilson Algebra and the Equitable Presentation of Uq(sl₂) / P. Terwilliger // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 20 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 33D80; 33D45
dc.identifier.other	http://dx.doi.org/10.3842/SIGMA.2011.099
dc.identifier.uri	https://nasplib.isofts.kiev.ua/handle/123456789/147989
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.status	published earlier	uk_UA
dc.title	The Universal Askey-Wilson Algebra and the Equitable Presentation of Uq(sl₂)	uk_UA
dc.type	Article	uk_UA

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