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dc.contributor.author Terwilliger, P.
dc.date.accessioned 2019-02-14T16:59:45Z
dc.date.available 2019-02-14T16:59:45Z
dc.date.issued 2011
dc.identifier.citation The Universal Askey-Wilson Algebra / P. Terwilliger // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 66 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 33D80; 33D45
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/147390
dc.description.abstract In 1992 A. Zhedanov introduced the Askey-Wilson algebra AW=AW(3) and used it to describe the Askey-Wilson polynomials. In this paper we introduce a central extension Δ of AW, obtained from AW by reinterpreting certain parameters as central elements in the algebra. We call Δ the universal Askey-Wilson algebra. We give a faithful action of the modular group PSL₂(Z) on Δ as a group of automorphisms. We give a linear basis for Δ. We describe the center of Δ and the 2-sided ideal Δ[Δ,Δ]Δ. We discuss how Δ is related to the q-Onsager algebra. uk_UA
dc.description.sponsorship This paper is a contribution to the Special Issue “Relationship of Orthogonal Polynomials and Special Functions with Quantum Groups and Integrable Systems”. The full collection is available a thttp://www.emis.de/journals/SIGMA/OPSF.html. 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 The Universal Askey-Wilson Algebra uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA
dc.identifier.udc DOI:10.3842/SIGMA.2011.069

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