Double Affine Hecke Algebras of Rank 1 and the Z_3-Symmetric Askey-Wilson Relations

We consider the double affine Hecke algebra H=H(k_0,k_1,k_0^v,k_1^v;q) associated with the root system (C_1^v,C_1). We display three elements x, y, z in H that satisfy essentially the Z_3-symmetric Askey-Wilson relations. We obtain the relations as follows. We work with an algebra H^ that is more ge...

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Bibliographic Details
Main Authors: Paul Terwilliger, Tatsuro Ito
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2010-08-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2010.065