Dynamical Systems and Semisimple Groups: An Introduction: 126 (Cambridge Tracts in Mathematics, Series Number 126) - Softcover

Feres, Renato

Softcover

ISBN 10: 0521142164 ISBN 13: 9780521142168

Publisher: Cambridge University Press, 2010

Synopsis

This 1998 book provides 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 literature on the ergodic theory of measure preserving actions of semisimple Lie groups. The author develops in a detailed and self-contained way the main results on Lie groups, Lie algebras, and semisimple groups, including basic facts 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.

About this title

Review

Review of the hardback: 'This text might well become a standard one ...'. G. Pilz, Internationale Mathematische Nachrichten

Book Description

Assuming only a basic knowledge of manifolds theory, algebra, and measure theory, this 1998 book is a systematic and largely self-contained introduction to Margulis-Zimmer theory. It should appeal to anyone interested in Lie theory, differential geometry and dynamical systems.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2010
• Language: English
• ISBN 10: 0521142164
• ISBN 13: 9780521142168
• Binding: Paperback
• Edition number: 1
• Number of pages: 264