Double Affine Hecke Algebras
$104.00 (C)
Part of London Mathematical Society Lecture Note Series
- Author: Ivan Cherednik, University of North Carolina, Chapel Hill
- Date Published: April 2005
- availability: Available
- format: Paperback
- isbn: 9780521609180
$
104.00
(C)
Paperback
Other available formats:
eBook
Looking for an examination copy?
This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.
-
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.
Read more- Was the first book on Double Affine Heck Algebras
- One of the main texts on Knizhnik-Zamolodchikov equations and their quantum counterparts, and also in the modern theory of spherical and hypergeometric functions
- See also http://arxiv.org/abs/math.QA/0404307
Reviews & endorsements
'I think that this book will be of interest to both mathematicians and physicists who care about double Hecke algebra techniques.' Zentralblatt MATH
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: April 2005
- format: Paperback
- isbn: 9780521609180
- length: 448 pages
- dimensions: 229 x 152 x 25 mm
- weight: 0.65kg
- availability: Available
Table of Contents
0. Introduction
1. KZ and QMBP
2. One-dimensional DAHA
3. General theory.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×