Książka Dynamical Systems and Semisimple Groups Renato Feres

Dynamical Systems and Semisimple Groups

An Introduction

Autor: Renato Feres
Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 9-15 dni
656.49
This 1998 book provides an introduction to dynamical systems and ergodic theory with an emphasis on...

Informacje o książce

Autor
Język
Angielski
Oprawa
Książka - Twarda
Data wydania
1998
strony
264
EAN
9780521591621
ISBN
0521591627
Enbook ID
02036601
Waga
520
Wymiary
152 x 229 x 19

Pełny opis

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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