The Relationship between Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case

Zhedanov's algebra AW(3) is considered with explicit structure constants such that, in the basic representation, the first generator becomes the second order q-difference operator for the Askey-Wilson polynomials. It is proved that this representation is faithful for a certain quotient of AW(3)...

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Bibliographic Details
Main Author: Tom H. Koornwinder
Format: Article
Published: National Academy of Science of Ukraine 2007-04-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
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