李群与李代数II:李群的离散子群,李群与李代数的上同调
作 者:(俄罗斯)奥尼契科(Onishchik, A.L) 等 编著 编
定 价:138
出 版 社:科学出版社
出版日期:2009年01月01日
页 数:223
装 帧:精装
ISBN:9787030235053
目录
●Chapter 0. Introduction 5
Chapter 1. Discrete Subgroups of Locally Compact Topological Groups 7
§1. The Simplest Properties of Lattices 7
1.1. Definition of a Discrete Subgroup. Examples 7
1.2. Commensurability and Reducibility of Lattices 10
§2. Discrete Groups of Transformations 12
2.1. Basic Definitions and Examples 12
2.2. Covering Sets and Fu ndamental Domains of a Discrete Group of Transformations 15
§3. Group-Theoretical Properties of Lattices in Lie Groups 17
3.1. Finite Presentability of Lattices 17
3.2. A Theorem of Selberg and Some of Its Consequences 18
3.3. The Property (T) 18
§4. Intersection of Discrete Subgroups with Closed Subgroups 20
4.1. Γ-Closedness of Subgroups 20
4.2. Subgroups with Good Γ-Heredity 22
……
内容介绍
The first part of this book on Discrete Subgroups of Lie Groups is written by E.B. Vinberg, V.V. Gorbatsevich, and O.V. Shvartsman.Various types of discrete subgroups of Lie groups arise in the theory of functions of complex variables, arithmetic, geometry, and crystallography. Since the foundation of their general theory in the 50-60s of this century, considerable and in many respects exhaustive ......
(俄罗斯)奥尼契科(Onishchik, A.L) 等 编著 编