Introduction to Arithmetic Groups
Introduction to Arithmetic Groups
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Place of publication not identified]
Deductive Press
[2015]
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| Series: | Open textbook library.
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| Subjects: | |
| Online Access: | Access online version |
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Table of Contents:
- -- Part I. Introduction
- What is a Locally Symmetric Space?
- Geometric Meaning of R-rank and Q-rank
- Brief Summary
- Part II. Fundamentals
- Basic Properties of Lattices
- What is an Arithmetic Groups?
- Examples of Arithmetic Groups
- SL (n, Z) is a lattice in SL (n, R)
- Part III. Important Concepts
- Real Rank
- Q-Rank
- Quasi-Isometries
- Unitary Representations
- Amenable Groups
- Kazhdan's Property (T)
- Ergodic Theory
- Part IV. Major Results
- Mostow Rigidity Theorem
- Margulis Superrigidity Theorem
- Normal Subgroups of T
- Arithmetic Subgroups of Classical Groups
- Construction of a Coarse Fundamental Domain
- Ratner's Theorems of Unipotent Flows
- Appendices