Lectures on Discrete Subgroups of Lie Groups

Small book cover: Lectures on Discrete Subgroups of Lie Groups

Lectures on Discrete Subgroups of Lie Groups

Publisher: Tata Institute of Fundamental Research
Number of pages: 86

Contents: Preliminaries; Complexification of a real Linear Lie Group; Intrinsic characterization of K* and E; R-regular elements; Discrete Subgroups; Some Ergodic Properties of Discrete Subgroups; Real Forms of Semi-simple Algebraic Groups; The First Main Theorem; The Main Conjectures and the Main Theorem; Quasi-conformal Mappings.

Download or read it online for free here:
Download link
(390KB, PDF)

Similar books

Book cover: Lecture Notes in Lie GroupsLecture Notes in Lie Groups
by - arXiv
These notes are designed for a 1-semester third year or graduate course in mathematics, physics, or biology. We give both physical and medical examples of Lie groups. The only necessary background are advanced calculus and linear algebra.
Book cover: An Introduction to Lie Group IntegratorsAn Introduction to Lie Group Integrators
by - arXiv
The authors give a short and elementary introduction to Lie group methods. A selection of applications of Lie group integrators are discussed. Finally, a family of symplectic integrators on cotangent bundles of Lie groups is presented ...
Book cover: Algebraic Groups, Lie Groups, and their Arithmetic SubgroupsAlgebraic Groups, Lie Groups, and their Arithmetic Subgroups
This work is a modern exposition of the theory of algebraic group schemes, Lie groups, and their arithmetic subgroups. Algebraic groups are groups defined by polynomials. Those in this book can all be realized as groups of matrices.
Book cover: Introduction to Lie Groups and Lie AlgebrasIntroduction to Lie Groups and Lie Algebras
by - SUNY at Stony Brook
The book covers the basic contemporary theory of Lie groups and Lie algebras. This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. Written in an informal style.