Spherical and Whittaker functions via DAHA II

• Ivan Cherednik ^[2] ; Xiaoguang Ma ^[1]
  1. [1] University of Alberta

     University of Alberta

     Canadá

     
  2. [2] UNC Chapel Hil
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 19, Nº. 3, 2013, págs. 819-864
• Idioma: inglés
• DOI: 10.1007/s00029-012-0116-0
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• Resumen

  • This paper is focused on the spinor (nonsymmetric) Whittaker functions in the rank one, related q-Toda–Dunkl operators, and other aspects of the spinor construction, including one-dimensional Bessel functions and the isomorphism between the affine Knizhnik–Zamolodchikov equation and the Quantum many-body problem (the Heckman–Opdam system).