The Universal Askey-Wilson Algebra and DAHA of Type (C_1^∨,C_1)

Around 1992 A. Zhedanov introduced the Askey-Wilson algebra AW(3). Recently we introduced a central extension $Delta_q$ of AW(3) called the universal Askey-Wilson algebra. In this paper we discuss how $Delta_q$ is related to the universal DAHA $hat H_q$ of type$(C^vee_1, C_1)$. Our main result is an...

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Bibliographic Details
Main Author: Paul Terwilliger
Format: Article
Published: National Academy of Science of Ukraine 2013-07-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
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