Download e-book for iPad: Double Affine Hecke Algebras (London Mathematical Society by Ivan Cherednik

By Ivan Cherednik

ISBN-10: 0511546505

ISBN-13: 9780511546501

ISBN-10: 0521609186

ISBN-13: 9780521609180

this is often an basically self-contained monograph in an exciting box of basic value for illustration thought, Harmonic research, Mathematical Physics, and Combinatorics. it's a significant resource of normal information regarding the double affine Hecke algebra, also referred to as Cherednik's algebra, and its amazing functions. bankruptcy 1 is dedicated to the Knizhnik-Zamolodchikov equations connected to root structures and their relatives to affine Hecke algebras, Kac-Moody algebras, and Fourier research. bankruptcy 2 features a systematic exposition of the illustration thought of the one-dimensional DAHA. it's the least difficult case yet faraway from trivial with deep connections within the idea of targeted features. bankruptcy three is set DAHA in complete generality, together with functions to Macdonald polynomials, Fourier transforms, Gauss-Selberg integrals, Verlinde algebras, and Gaussian sums. This booklet is designed for mathematicians and physicists, specialists and scholars, in case you are looking to grasp the double Hecke algebra strategy. stopover at http://arxiv.org/math.QA/0404307 to learn bankruptcy zero and chosen issues from different chapters.

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Double Affine Hecke Algebras (London Mathematical Society Lecture Note Series) by Ivan Cherednik


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