This is an essentially self-contained monograph in an intriguing
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,
for those who want to master the double Hecke algebra technique.
Visit http://arxiv.org/math.QA/0404307 to read Chapter 0 and
selected topics from other chapters.
General
| Imprint: |
Cambridge UniversityPress
|
| Country of origin: |
United Kingdom |
| Series: |
London Mathematical Society Lecture Note Series |
| Release date: |
March 2005 |
| First published: |
July 2010 |
| Authors: |
Ivan Cherednik
|
| Dimensions: |
229 x 152 x 25mm (L x W x T) |
| Format: |
Paperback - Trade
|
| Pages: |
448 |
| ISBN-13: |
978-0-521-60918-0 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
| LSN: |
0-521-60918-6 |
| Barcode: |
9780521609180 |
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