Skip to content
Register Sign in Wishlist
Dynamical Systems and Semisimple Groups

Dynamical Systems and Semisimple Groups
An Introduction

$129.00 (C)

Part of Cambridge Tracts in Mathematics

  • Date Published: June 1998
  • availability: Available
  • format: Hardback
  • isbn: 9780521591621

$ 129.00 (C)
Hardback

Add to cart Add to wishlist

Other available formats:
Paperback


Looking for an examination copy?

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.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Here is an introduction to dynamical systems and ergodic theory with an emphasis on smooth actions of noncompact Lie groups. The main goal is to serve as an entry into the current literature on the ergodic theory of measure preserving actions of semisimple Lie groups for students who have taken the standard first year graduate courses in mathematics. The author develops in a detailed and self-contained way the main results on Lie groups, Lie algebras, and semisimple groups, including basic facts normally covered in first courses on manifolds and Lie groups plus topics such as integration of infinitesimal actions of Lie groups. He then derives the basic structure theorems for the real semisimple Lie groups, such as the Cartan and Iwasawa decompositions and gives an extensive exposition of the general facts and concepts from topological dynamics and ergodic theory, including detailed proofs of the multiplicative ergodic theorem and Moore's ergodicity theorem. This book should appeal to anyone interested in Lie theory, differential geometry and dynamical systems.

    • Fills gap for beginning graduate students and mathematicians in other fields
    • Geometric and dynamical perspective should appeal to a wide readership
    • Can be used as an introduction to general Lie theory and semisimple groups, topological dynamics and ergodic theory, and algebraic geometry
    Read more

    Reviews & endorsements

    "Well written and...highly recommended." Bulletin of the American Mathematical Society

    "...excellent and quite comprehensive introduction to the algebra and dynamics of Lie group actions in the chapters..." Monatshefte fur Mathematik

    "An important feature of the text is the inclusion of many exercises, always a helpful thing." Proceedings of the Edinburgh Mathematical Society

    "...nicely written and highly recommended, especially for graduate students specializing in Lie groups and ergodic theory." Mathematical Reviews

    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: June 1998
    • format: Hardback
    • isbn: 9780521591621
    • length: 264 pages
    • dimensions: 229 x 152 x 19 mm
    • weight: 0.56kg
    • availability: Available
  • Table of Contents

    Preface
    1. Topological dynamics
    2. Ergodic theory - part I
    3. Smooth actions and Lie theory
    4. Algebraic actions
    5. The classical groups
    6. Geometric structures
    7. Semisimple Lie groups
    8. Ergodic theory - part II
    9. Oseledec's theorem
    10. Rigidity theorems
    Appendix: Lattices in SL(n, R)
    References
    Index.

  • Author

    Renato Feres, Washington University, St Louis

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.
×