From double Hecke algebra to Fourier transform

• Ivan Cherednik ^[2] ; Viktor Ostrik ^[1]
  1. [1] Massachusetts Institute of Technology

     Massachusetts Institute of Technology

     City of Cambridge, Estados Unidos

     
  2. [2] Department of Mathematics, University of North Carolina, USA
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 9, Nº. 2, 2003, págs. 161-249
• Idioma: inglés
• DOI: 10.1007/s00029-003-0329-3
• Enlaces
  • Texto completo (pdf)
• Resumen

  • The paper contains a systematic theory of the one-dimensional double affine Hecke algebra including applications to the difference Fourier transform, the Rogers-Macdonald polynomials, the Gaussian sums at roots of unity, and the Verlinde algebras. The main new result is the classification of finite dimensional representations for generic q and at the roots of unity.