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From Double Hecke algebra to Fourier transform

Ivan Cherednik·Viktor Ostrik
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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.

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BibTeXRIS

Ivan Cherednik, Viktor Ostrik. 2004-04-11. From Double Hecke algebra to Fourier transform. https://arxiv.org/abs/math/0111130

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