The Universal Askey-Wilson Algebra
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The Universal Askey-Wilson Algebra
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| Creator |
Terwilliger, P.
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| Description |
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.
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| Date |
2019-02-14T16:59:45Z
2019-02-14T16:59:45Z 2011 |
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| Type |
Article
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| Identifier |
The Universal Askey-Wilson Algebra / P. Terwilliger // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 66 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 33D80; 33D45 http://dspace.nbuv.gov.ua/handle/123456789/147390 DOI:10.3842/SIGMA.2011.069 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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