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Dynamical Systems and Semisimple Groups: An Introduction: Cambridge Tracts in Mathematics, cartea 126

Autor Renato Feres
en Limba Engleză Paperback – 31 mar 2010
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.
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Paperback (1) 43569 lei  6-8 săpt.
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  Cambridge University Press – 12 iun 1998 79081 lei  6-8 săpt.

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Specificații

ISBN-13: 9780521142168
ISBN-10: 0521142164
Pagini: 264
Dimensiuni: 152 x 229 x 15 mm
Greutate: 0.39 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Tracts in Mathematics

Locul publicării:New York, United States

Cuprins

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.

Recenzii

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

Descriere

An introduction to dynamical systems and ergodic theory with an emphasis on smooth actions of noncompact Lie groups.