Discrete Subgroups of Semisimple Lie Groups is popular PDF and ePub book, written by Gregori A. Margulis in 1991-02-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Discrete Subgroups of Semisimple Lie Groups can be Read Online from any device for your convenience.
Discrete Subgroups of Semisimple Lie Groups Book PDF Summary
Discrete subgroups have played a central role throughout the development of numerous mathematical disciplines. Discontinuous group actions and the study of fundamental regions are of utmost importance to modern geometry. Flows and dynamical systems on homogeneous spaces have found a wide range of applications, and of course number theory without discrete groups is unthinkable. This book, written by a master of the subject, is primarily devoted to discrete subgroups of finite covolume in semi-simple Lie groups. Since the notion of "Lie group" is sufficiently general, the author not only proves results in the classical geometry setting, but also obtains theorems of an algebraic nature, e.g. classification results on abstract homomorphisms of semi-simple algebraic groups over global fields. The treatise of course contains a presentation of the author's fundamental rigidity and arithmeticity theorems. The work in this monograph requires the language and basic results from fields such as algebraic groups, ergodic theory, the theory of unitary representatons, and the theory of amenable groups. The author develops the necessary material from these subjects; so that, while the book is of obvious importance for researchers working in related areas, it is essentially self-contained and therefore is also of great interest for advanced students.
Detail Book of Discrete Subgroups of Semisimple Lie Groups PDF
- Author : Gregori A. Margulis
- Release : 15 February 1991
- Publisher : Springer Science & Business Media
- ISBN : 354012179X
- Genre : Mathematics
- Total Page : 408 pages
- Language : English
- PDF File Size : 10,6 Mb
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