000			02153 a2200265 4500
003			OSt
005			20221017123115.0
008			221014b xxu||||| |||| 00| 0 eng d
020			_a9781468494907
040			_cIIT Kanpur
041			_aeng
082			_a512.55 _bZ65e
100			_aZimmer, Robert J.
245			_aErgodic theory and semisimple groups [Vol. 81] _cRobert J. Zimmer
260			_bBirkhauser _c1984 _aBoston
300			_ax, 209p
440			_aMonographs in Mathematics
490			_a/ edited by Armand Borel, Jurgen Moser and Shing Tung Yau _v; v.81
520			_aThis book is based on a course given at the University of Chicago in 1980-81. As with the course, the main motivation of this work is to present an accessible treatment, assuming minimal background, of the profound work of G. A. Margulis concerning rigidity, arithmeticity, and structure of lattices in semi­ simple groups, and related work of the author on the actions of semisimple groups and their lattice subgroups. In doing so, we develop the necessary prerequisites from earlier work of Borel, Furstenberg, Kazhdan, Moore, and others. One of the difficulties involved in an exposition of this material is the continuous interplay between ideas from the theory of algebraic groups on the one hand and ergodic theory on the other. This, of course, is not so much a mathematical difficulty as a cultural one, as the number of persons comfortable in both areas has not traditionally been large. We hope this work will also serve as a contribution towards improving that situation. While there are a number of satisfactory introductory expositions of the ergodic theory of integer or real line actions, there is no such exposition of the type of ergodic theoretic results with which we shall be dealing (concerning actions of more general groups), and hence we have assumed absolutely no knowledge of ergodic theory (not even the definition of "ergodic") on the part of the reader. All results are developed in full detail.
650			_aErgodic theory
650			_aSemisimple Lie groups
650			_aMathematics
650			_aGroup theory
942			_cBK
999			_c565686 _d565686