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Dynamical Systems and Semisimple Groups

Name: Dynamical Systems and Semisimple Groups
Brand: Cambridge University Press
SKU: 02023680
Price: 74.92 EUR
Availability: InStock
Author: Renato Feres
ISBN: 9780521142168

An Introduction

Renato Feres

Language

English

Book Paperback

Libristo code: 02023680

Publishers Cambridge University Press, April 2010

This 1998 book provides an introduction to dynamical systems and ergodic theory with an emphasis on... Full description

Libristo code: 02023680

181 b

74.92 €

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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.