Double Affine Hecke Algebras (London Mathematical Society Lecture Note Series) Book + PRICE WATCH * Amazon pricing is not included in price watch

Double Affine Hecke Algebras (London Mathematical Society Lecture Note Series) Book

This is an essentially self-contained monograph centered on the new double Hecke algebra technique.Read More

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  • Product Description

    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.

  • 0521609186
  • 9780521609180
  • Ivan Cherednik
  • 21 March 2005
  • Cambridge University Press
  • Paperback (Book)
  • 446
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