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Resumen de From double Hecke algebra to Fourier transform

Ivan Cherednik, Viktor Ostrik

  • 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.


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