Double Affine Hecke Algebras (London Mathematical Society Lecture Note Series) free ebook download.

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Double Affine Hecke Algebras (London Mathematical Society Lecture Note Series) free ebook download

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Author(s):	Ivan Cherednik

Date:	2005	Format:	pdf	Language:	English	ISBN/ASIN:	0521609186
Pages:	1	OCR:		Quality:		ISBN13:
Uploader:	tvladb77	Upload Date:	3/3/2022 1:40:53 PM

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This is a unique, essentially self-contained, monograph in a new field of fundamental importance for representation theory, harmonic analysis, mathematical physics, and combinatorics. It is a major source of general information about the double affine Hecke algebra, also called Cherednik's algebra, and its impressive applications. Chapter 1 is devoted to the Knizhnik-Zamolodchikov equations attached to root systems and their relations to affine Hecke algebras, Kac-Moody algebras, and Fourier analysis. Chapter 2 contains a systematic exposition of the representation theory of the one-dimensional DAHA. It is the simplest case but far from trivial with deep connections in the theory of special functions. Chapter 3 is about DAHA in full generality, including applications to Macdonald polynomials, Fourier transforms, Gauss-Selberg integrals, Verlinde algebras, and Gaussian sums. This book is designed for mathematicians and physicists, experts and students, all those who want to master the new double Hecke algebra technique.

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Tags: Affine Algebras Double Hecke Lecture London Mathematical Note Society

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