Skip to content
Register Sign in Wishlist
Look Inside New Directions in Hopf Algebras

New Directions in Hopf Algebras

£35.99

Part of Mathematical Sciences Research Institute Publications

Nicolas Andruskiewitsch, Hans-Jurgen Schneider, Shlomo Gelaki, Gail Letzter, Akira Masuoka, Dmitri Nikshych, Leonid Vainerman, David Radford, Peter Schauenburg, Mitsuhiro Takeuchi, Fred Van Oystaeyen, Yinhuo Zhang
View all contributors
  • Date Published: December 2009
  • availability: Available
  • format: Paperback
  • isbn: 9780521124317

£ 35.99
Paperback

Add to cart Add to wishlist

Other available formats:
Hardback


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras and other areas of physics and mathematics. They have been intensely studied in the past; in particular, the solution of a number of conjectures of Kaplansky from the 1970s has led to progress on the classification of semisimple Hopf algebras and on the structure of pointed Hopf algebras. Among the topics covered are results toward the classification of finite-dimensional Hopf algebras (semisimple and non-semisimple), as well as what is known about the extension theory of Hopf algebras. Some papers consider Hopf versions of classical topics, such as the Brauer group, while others are closer to work in quantum groups. The book also explores the connections and applications of Hopf algebras to other fields.

    • Contributors are all top researchers
    • Expository articles on recent research developments will help graduate students enter the field
    • Includes an updated version of Mitsuhiro Takeuchi's classic article 'A short course on quantum matrices'
    Read more

    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: December 2009
    • format: Paperback
    • isbn: 9780521124317
    • length: 496 pages
    • dimensions: 234 x 156 x 25 mm
    • weight: 0.69kg
    • availability: Available
  • Table of Contents

    1. Pointed Hopf algebras Nicolas Andruskiewitsch and Hans-Jurgen Schneider
    2. On the classification of finite-dimensional triangular Hopf algebras Shlomo Gelaki
    3. Coideal subalgebras and quantum symmetric pairs Gail Letzter
    4. Hopf algebra extensions and cohomology Akira Masuoka
    5. Finite quantum groupoids and their applications Dmitri Nikshych and Leonid Vainerman
    6. On quantum algebras and coalgebras, oriented quantum algebras and coalgebras, invariants of 1-1 tangles, knots, and links David Radford
    7. Hopf algebra extensions and monoidal categories Peter Schauenburg
    8. A short course on quantum matrices Mitsuhiro Takeuchi
    9. The Brauer group of a Hopf algebra Fred Van Oystaeyen and Yinhuo Zhang.

  • Editors

    Susan Montgomery, University of Southern California

    Hans-Jurgen Schneider, Universität Munchen

    Contributors

    Nicolas Andruskiewitsch, Hans-Jurgen Schneider, Shlomo Gelaki, Gail Letzter, Akira Masuoka, Dmitri Nikshych, Leonid Vainerman, David Radford, Peter Schauenburg, Mitsuhiro Takeuchi, Fred Van Oystaeyen, Yinhuo Zhang

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

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 ×

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.
×