From Double Hecke algebra to Fourier transform
Quantum Algebra
2007-05-23 v2 Representation Theory
Abstract
The paper contains a systematic theory of the one-dimensional 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 finite-dimensional representations for generic q and at roots of unity.
Cite
@article{arxiv.math/0111130,
title = {From Double Hecke algebra to Fourier transform},
author = {Ivan Cherednik and Viktor Ostrik},
journal= {arXiv preprint arXiv:math/0111130},
year = {2007}
}
Comments
Sections 8,9 are updated