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...
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 |
Similar Items
-
The Universal Askey-Wilson Algebra and DAHA of Type (C_1^∨,C_1)
by: Paul Terwilliger
Published: (2013-07-01) -
The Universal Askey-Wilson Algebra and the Equitable Presentation of U_q(sl_2)
by: Paul Terwilliger
Published: (2011-10-01) -
The Relationship between Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case
by: Tom H. Koornwinder
Published: (2007-04-01) -
The Universal Askey-Wilson Algebra
by: Paul Terwilliger
Published: (2011-07-01) -
Orthogonal Basic Hypergeometric Laurent Polynomials
by: Mourad E.H. Ismail, et al.
Published: (2012-12-01)