The Universal Askey-Wilson Algebra and the Equitable Presentation of Uq(sl₂)
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The Universal Askey-Wilson Algebra and the Equitable Presentation of Uq(sl₂)
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| Creator |
Terwilliger, P.
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| Description |
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).
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| Date |
2019-02-16T12:45:20Z
2019-02-16T12:45:20Z 2011 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 33D80; 33D45 http://dx.doi.org/10.3842/SIGMA.2011.099 http://dspace.nbuv.gov.ua/handle/123456789/147989 |
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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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