Science/Engineering Double Affine Hecke Algebras (London Mathematical Society Lecture Note Series): Ivan Cherednik (0521609186)

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

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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	Study Introduction to Subfactors (London Mathematical Society Lecture Note Series) V. Jones, V. S. Sunder "Introduction to Subfactors (London Mathematical Society Lecture Note Series)"Cambridge University Press \| English \| 1997-05-28 \| ISBN: 0521584205 \| 176 pages \| PDF \| 2 MBSubfactors, a subject of considerable research ...
	Study L-Functions and Arithmetic (London Mathematical Society Lecture Note Series) J. Coates, M. J. Taylor "L-Functions and Arithmetic (London Mathematical Society Lecture Note Series)"Cambridge University Press \| English \| 1991-02-22 \| ISBN: 0521386195 \| 404 pages \| DJVU \| 1,8 MBThis volume is an outgrowth of the LMS Dur ...
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