Cover; Series-title; Title; Copyright; Preface; Contents; Chapter 0 Introduction; 0.0 Universality of Hecke algebras; 0.1 KZ and Kac-Moody algebras; 0.2 Double Hecke algebras; 0.3 DAHA in harmonic analysis; 0.4 DAHA and Verlinde algebras; 0.5 Applications; Chapter 1 KZ and QMBP; 1.0 Soliton connection; 1.1 Affine KZ equation; 1.2 Isomorphism theorems for AKZ; 1.3 Isomorphisms for QAKZ; 1.4 DAHA and Macdonald polynomials; 1.5 Abstract KZ and elliptic QMBP; 1.6 Harish-Chandra inversion; 1.7 Factorization and r-matrices; 1.8 Coinvariant, integral formulas; Chapter 2 One-dimensional DAHA
Summary
This book 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
Bibliography
Includes bibliographical references (pages 418-430) and index
