Skip to content
Register Sign in Wishlist

Double Affine Hecke Algebras

£79.99

Part of London Mathematical Society Lecture Note Series

  • Date Published: March 2005
  • availability: Available
  • format: Paperback
  • isbn: 9780521609180

£ 79.99
Paperback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • 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.

    • 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
    Read more

    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

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: March 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.

  • Author

    Ivan Cherednik, University of North Carolina, Chapel Hill

Related Books

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
Please note that this file is password protected. You will be asked to input your password on the next screen.

» 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 ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon
×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

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.

×
Please fill in the required fields in your feedback submission.
×