Free download and read ebooks online Introduction To Arithmetic Groups by Dave Witte Morris full book PDF ePUB Audiobook. Download a free ebooks and kindle audiobook Introduction To Arithmetic Groups with ISBN id 9780986571602 full page with book summary. Dave Witte Morris book PDF ePUB of Introduction To Arithmetic Groups published by in 2015-04-24. Introduction to Arithmetic Groups released with category Mathematics with total 492 pages.
Introduction To Arithmetic Groups by Dave Witte Morris free pdf book
This book provides a gentle introduction to the study of arithmetic subgroups of semisimple Lie groups. This means that the goal is to understand the group SL(n, Z) and certain of its subgroups. Among the major results discussed in the later chapters are the Mostow Rigidity Theorem, the Margulis Superrigidity Theorem, Ratner's Theorems, and the classification of arithmetic subgroups of classical groups. As background for the proofs of these theorems, the book provides primers on lattice subgroups, arithmetic groups, real rank and Q-rank, ergodic theory, unitary representations, amenability, Kazhdan's property (T), and quasi-isometries. Numerous exercises enhance the book's usefulness both as a textbook for a second-year graduate course and for self-study. In addition, notes at the end of each chapter have suggestions for further reading. (Proofs in this book often consider only an illuminating special case.) Readers are expected to have some acquaintance with Lie groups, but appendices briefly review the prerequisite background. A PDF file of the book is available on the internet. This inexpensive printed edition is for readers who prefer a hardcopy.
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