Download E-books Double Affine Hecke Algebras (London Mathematical Society Lecture Note Series) PDF

By Ivan Cherednik

This can be a specified, primarily self-contained, monograph in a brand new box of primary value for illustration thought, harmonic research, mathematical physics, and combinatorics. it's a significant resource of basic information regarding the double affine Hecke algebra, also referred to as Cherednik's algebra, and its remarkable functions. bankruptcy 1 is dedicated to the Knizhnik-Zamolodchikov equations connected to root structures and their kinfolk to affine Hecke algebras, Kac-Moody algebras, and Fourier research. bankruptcy 2 incorporates a systematic exposition of the illustration idea of the one-dimensional DAHA. it's the easiest case yet faraway from trivial with deep connections within the idea of targeted features. bankruptcy three is set DAHA in complete generality, together with purposes to Macdonald polynomials, Fourier transforms, Gauss-Selberg integrals, Verlinde algebras, and Gaussian sums. This ebook is designed for mathematicians and physicists, specialists and scholars, all those that are looking to grasp the recent double Hecke algebra approach.

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