Introduction to Arithmetic Groups
Publisher: Deductive Press
Published: 2015
Format: paperback, hardcover, and free ebook are available
Number of pages: 492
ISBN-13: 9780986571619; 9780986571602
Table of contents: label: Part I
title: Introduction; label: Chapter 1
title: What is a Locally Symmetric Space?
pagenum: 3; label: Chapter 2
title: Geometric Meaning of R-rank and Q-rank
pagenum: 21; label: Chapter 3
title: Brief Summary
pagenum: 27; label: Part II
title: Fundamentals; label: Chapter 4
title: Basic Properties of Lattices
pagenum: 41; label: Chapter 5
title: What is an Arithmetic Group?
pagenum: 83; label: Chapter 6
title: Examples of Arithmetic Groups
pagenum: 111; label: Chapter 7
title: SL(n, Z) is a lattice in SL(n, R)
pagenum: 151; label: Part III
title: Important Concepts; label: Chapter 8
title: Real Rank
pagenum: 177; label: Chapter 9
title: Q-Rank
pagenum: 191; label: Chapter 10
title: Quasi-Isometries
pagenum: 203; label: Chapter 11
title: Unitary Representations
pagenum: 211; label: Chapter 12
title: Amenable Groups
pagenum: 231; label: Chapter 13
title: Kazhdan’s Property (T)
pagenum: 261; label: Chapter 14
title: Ergodic Theory
pagenum: 285; label: Part IV
title: Major Results; label: Chapter 15
title: Mostow Rigidity Theorem
pagenum: 307; label: Chapter 16
title: Margulis Superrigidity Theorem
pagenum: 319; label: Chapter 17
title: Normal Subgroups of Γ
pagenum: 347; label: Chapter 18
title: Arithmetic Subgroups of Classical Groups
pagenum: 363; label: Chapter 19
title: Construction of a Coarse Fundamental Domain
pagenum: 391; label: Chapter 20
title: Ratner’s Theorems on Unipotent Flows
pagenum: 405; title: Appendices; label: Appendix A
title: Basic Facts about Semisimple Lie Groups
pagenum: 427; label: Appendix B
title: Assumed Background
pagenum: 447; label: Appendix C
title: A Quick Look at S-Arithmetic Groups
pagenum: 457