Mathematics – Quantum Algebra
Scientific paper
2001-11-12
Sel. math., New Ser. 9 (2003), 161-249
Mathematics
Quantum Algebra
Sections 8,9 are updated
Scientific paper
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.
Cherednik Ivan
Ostrik Viktor
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