Double Affine Hecke Algebras

Description

Title: Double Affine Hecke Algebras
Description:
(London Mathematical Society Lecture Note Series)
Pages: 446

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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1. Ebooks list page : 521
2. Double Affine Hecke Algebras (London Mathematical Society Lecture Note Series): Ivan Cherednik
3. Iwahori-Hecke Algebras and their Representation Theory
4. Blocks and Families for Cyclotomic Hecke Algebras
5. Lie Algebras of Finite and Affine Type
6. Lie Algebras of Finite and Affine Type
7. Characters of Finite Coxeter Groups and Iwahori-Hecke Algebras
8. Jürgen A. Fuchs - Affine Lie Algebras and Quantum Groups: An Introduction, with Applications in Conformal Field Theory
9. Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras
10. C*-algebras and W*-algebras (Ergebnisse der Mathematik und ihrer Grenzgebiete Band 60): Shoichiro Sakai
11. Classification of Nuclear C*-Algebras. Entropy in Operator Algebras (Encyclopaedia of Mathematical Sciences)
12. Elements of the Representation Theory of Associative Algebras, Vol. 2: Tubes and Concealed Algebras of Euclidean type
13. Operator Algebras and Quantum Statistical Mechanics 1: C*- and W*-Algebras. (Repost)
14. Lie Algebras: Finite and Infinite Demensional Lie Algebras
15. C* -Algebras : General Theory of C*-Algebras
16. Algebras, Rings And Their Representations: Proceedings Of The International Conference on Algebras, Modules and Rings, Lisbon,