Introduction to Arithmetic Groups

Morris, Dave Witte

ISBN 10: 098657161X / ISBN 13: 9780986571619

Published by Deductive Press, 2015

About this Item

Most items will be dispatched the same or the next working day. A copy that has been read but remains in clean condition. All of the pages are intact and the cover is intact and the spine may show signs of wear. The book may have minor markings which are not specifically mentioned.

Seller Inventory # rev9694941808

Bibliographic Details

• Title: Introduction to Arithmetic Groups
• Publisher: Deductive Press
• Publication Date: 2015
• Language: English
• ISBN 10: 098657161X
• ISBN 13: 9780986571619
• Binding: Hardcover
• Condition: Good
• Weight: 816.5 grams

About this title

Synopsis

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.