From Double Hecke Algebra to Fourier Transform
نویسندگان
چکیده
The paper is mainly based on the series of lectures on the onedimensional double Hecke algebra delivered by the first author at Harvard University in 2001. It also contains the material of other talks (MIT, University Paris 6) and new results. The most interesting is the classification of finite-dimensional representations. Concerning the proofs, we followed the principle the more proof the better, which the first author adopted during his studies in combinatorics. Quite a few theorems were proved twice in the lectures (sometimes even three times), using different tools. It remained the same in the paper.
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