Перегляд за автором "Terwilliger, P."

Сортувати за: Порядок: Результатів:

  • Double Affine Hecke Algebras of Rank 1 and the Z₃-Symmetric Askey-Wilson Relations 
    Ito, T.; Terwilliger, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We consider the double affine Hecke algebra H=H(k₀,k₁,k₀v,k₁v;q) associated with the root system (C₁v,C₁). We display three elements x, y, z in H that satisfy essentially the Z₃-symmetric Askey-Wilson relations. We obtain ...
  • The Universal Askey-Wilson Algebra 
    Terwilliger, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In 1992 A. Zhedanov introduced the Askey-Wilson algebra AW=AW(3) and used it to describe the Askey-Wilson polynomials. In this paper we introduce a central extension Δ of AW, obtained from AW by reinterpreting certain ...
  • The Universal Askey-Wilson Algebra and DAHA of Type (Cv₁,C₁) 
    Terwilliger, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
  • The Universal Askey-Wilson Algebra and the Equitable Presentation of Uq(sl₂) 
    Terwilliger, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    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 ...