The Universal Askey-Wilson Algebra and the Equitable Presentation of U_q(sl_2)
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 U_q(sl_2). Our main result is an algebra injection from Δ into a...
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Format: | Article |
Language: | English |
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National Academy of Science of Ukraine
2011-10-01
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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Online Access: | http://dx.doi.org/10.3842/SIGMA.2011.099 |