Skip to content
Register Sign in Wishlist
A Quantum Groups Primer

A Quantum Groups Primer


Part of London Mathematical Society Lecture Note Series

  • Date Published: April 2002
  • availability: Available
  • format: Paperback
  • isbn: 9780521010412

£ 56.99

Add to cart Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • This book provides a self-contained introduction to quantum groups as algebraic objects. Based on the author's lecture notes from a Part III pure mathematics course at Cambridge University, it is suitable for use as a textbook for graduate courses in quantum groups or as a supplement to modern courses in advanced algebra. The book assumes a background knowledge of basic algebra and linear algebra. Some familiarity with semisimple Lie algebras would also be helpful. The book is aimed as a primer for mathematicians and takes a modern approach leading into knot theory, braided categories and noncommutative differential geometry. It should also be useful for mathematical physicists.

    • Concise and self-contained introduction for mathematicians
    • Written in a clear and accessible style
    • Includes problem sets to aid study
    Read more

    Reviews & endorsements

    '… would serve admirably - as the author suggests - as the basis for a taught graduate course … this book is a clearly written painless read. I can recommend this text as an entry work for those wishing to acquaint themselves with the still popular topic of quantum groups.' A. I. Solomon, Contemporary Physics

    'Many intuitive comments and informal remarks, a well chosen set of main examples used systematically in the book and a clear and understandable style make the book very comfortable and useful for students as well as for mathematicians from other fields.' EMS Newsletter

    'This monograph is an excellent reference (and often a true 'eye-opener') for researchers working in quantum groups … S. Majid is well-known for his lively and very informative style of writing, and the reviewed book confirms this opinion. Thus the book is very well written, the proofs contain enough details to make them easily readable but still challenging enough to keep students interested … I can full-heartily recommend this work as a basis for a one-term postgraduate course or as an introductory text to all mathematicians who would like to learn quickly the main ideas, techniques and wide range of applications of quantum group theory.' Zentralblatt MATH

    See more reviews

    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: April 2002
    • format: Paperback
    • isbn: 9780521010412
    • length: 180 pages
    • dimensions: 228 x 152 x 17 mm
    • weight: 0.265kg
    • contains: 23 b/w illus. 50 exercises
    • availability: Available
  • Table of Contents

    1. Coalgebras, bialgebras and Hopf algebras. Uq(b+)
    2. Dual pairing. SLq(2). Actions
    3. Coactions. Quantum plane A2q
    4. Automorphism quantum groups
    5. Quasitriangular structures
    6. Roots of Unity. uq(sl2)
    7. q-Binomials
    8. quantum double. Dual-quasitriangular structures
    9. Braided categories
    10 (Co)module categories. Crossed modules
    11. q-Hecke algebras
    12. Rigid objects. Dual representations. Quantum dimension
    13. Knot invariants
    14. Hopf algebras in braided categories
    15. Braided differentiation
    16. Bosonisation. Inhomogeneous quantum groups
    17. Double bosonisation. Diagrammatic construction of uq(sl2)
    18. The braided group Uq(n–). Construction of Uq(g)
    19. q-Serre relations
    20. R-matrix methods
    21. Group algebra, Hopf algebra factorisations. Bicrossproducts
    22. Lie bialgebras. Lie splittings. Iwasawa decomposition
    23. Poisson geometry. Noncommutative bundles. q-Sphere
    24. Connections. q-Monopole. Nonuniversal differentials

  • Author

    Shahn Majid, Queen Mary University of London

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

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 Please see the permission section of the 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.


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.