Double Affine Hecke Algebras and Difference Fourier Transforms
نویسنده
چکیده
0. Introduction 1. Affine Weyl groups (Reduction modulo W ) 2. Double Hecke algebras (Automorphisms, Demazure-Lusztig operators) 3. Macdonald polynomials (Intertwining operators) 4. Fourier transform on polynomials (Basic transforms) 5. Jackson integrals (Macdonald’s η-identities) 6. Semisimple representations (Main Theorem, GLn and other applications) 7. Spherical representations (Semisimple spherical representations) 8. Gaussian and self-duality (Perfect representations, Main examples)
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DOUBLE HECKE ALGEBRAS 3 Nonsymmetric polynomials
0. Introduction 1. Affine Weyl groups (Reduction modulo W ) 2. Double Hecke algebras (Automorphisms, Demazure-Lusztig operators) 3. Macdonald polynomials (Intertwining operators) 4. Fourier transform on polynomials (Four transforms) 5. Jackson integrals (Macdonald’s η-identities) 6. Semisimple and pseudo-unitary representations (Main Theorem) 7. Spherical representations (Semisimple spherical r...
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