Skip to content
Register Sign in Wishlist

General Theory of Lie Groupoids and Lie Algebroids


Part of London Mathematical Society Lecture Note Series

  • Date Published: June 2005
  • availability: Available
  • format: Paperback
  • isbn: 9780521499286

£ 38.99

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 a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry, in particular their relations with Poisson geometry and general connection theory. It covers much work done since the mid 1980s including the first treatment in book form of Poisson groupoids, Lie bialgebroids and double vector bundles, as well as a revised account of the relations between locally trivial Lie groupoids, Atiyah sequences, and connections in principal bundles. As such, this book will be of great interest to all those concerned with the use of Poisson geometry as a semi-classical limit of quantum geometry, as well as to all those working in or wishing to learn the modern theory of Lie groupoids and Lie algebroids.

    • Book includes many results which have never appeared in book form before
    • Massive expansion of a successful earlier book
    • A thorough and detailed account of the subject
    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: June 2005
    • format: Paperback
    • isbn: 9780521499286
    • length: 540 pages
    • dimensions: 229 x 152 x 31 mm
    • weight: 0.79kg
    • availability: Available
  • Table of Contents

    Part I. The General Theory:
    1. Lie groupoids: fundamental theory
    2. Lie groupoids: algebraic constructions
    3. Lie algebroids: fundamental theory
    4. Lie algebroids: algebraic constructions
    Part II. The Transitive Theory:
    5. Infinitesimal connection theory
    6. Path connections and Lie theory
    7. Cohomology and Schouten calculus
    8. The cohomological obstruction
    Part III. The Poisson and Symplectic Theories:
    9. Double vector bundles
    10. Poisson structures and Lie algebras
    11. Poisson and symplectic groupoids
    12. Lie bialgebroids

  • Resources for

    General Theory of Lie Groupoids and Lie Algebroids

    Kirill C. H. Mackenzie

    General Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.

    Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.

    Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.

    If you are having problems accessing these resources please contact

  • Author

    Kirill C. H. Mackenzie, University of Sheffield
    Kirill Mackenzie is a reader in Pure Mathematics at the University of Sheffield

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.