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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Bibliographic Details
Main Author: Paul Terwilliger
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-10-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.099