Dynamical Systems and Semisimple Groups (Hardcover)

Language: English

Published by Cambridge University Press, Cambridge, 1998

0521591627 / 9780521591621

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Hardcover. 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. 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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

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Title
Dynamical Systems and Semisimple Groups (Hardcover)
Author
Renato Feres
Publisher
Cambridge University Press, Cambridge
Publication year
1998
Condition
new
Binding
Hardcover
Language
English
ISBN 10
0521591627
ISBN 13
9780521591621

CitiRetail

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