From Double Hecke algebra to Fourier transform
Abstract
The paper contains a systematic theory of the onedimensional Double Hecke algebra, including applications to the difference Fourier transform, Macdonald's polynomials, Gaussian sums at roots of unity, and Verlinde algebras. The main result is the classification of finitedimensional representations for generic q and at roots of unity.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 November 2001
 arXiv:
 arXiv:math/0111130
 Bibcode:
 2001math.....11130C
 Keywords:

 Quantum Algebra;
 Representation Theory
 EPrint:
 Sections 8,9 are updated