An edition of Introduction to Arithmetic Groups (2015)

Introduction to Arithmetic Groups

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An edition of Introduction to Arithmetic Groups (2015)

Introduction to Arithmetic Groups

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Publisher
Deductive Press
Pages
492

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Edition Availability
Cover of: Introduction to Arithmetic Groups
Introduction to Arithmetic Groups
2015, Deductive Press
paperback, hardcover, and free ebook are available
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Book Details

Table of Contents

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

The Physical Object

Format
paperback, hardcover, and free ebook are available
Number of pages
492

ID Numbers

Open Library
OL26470503M
ISBN 13
9780986571619, 9780986571602

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Download catalog record: RDF / JSON
April 4, 2023 Edited by ImportBot import existing book
July 13, 2018 Edited by davewittemorris added link to free online copy of the book
July 13, 2018 Edited by davewittemorris added basic metadata and table of contents
July 13, 2018 Created by davewittemorris Added new book.