Logo

Lectures on Discrete Subgroups of Lie Groups

Small book cover: Lectures on Discrete Subgroups of Lie Groups

Lectures on Discrete Subgroups of Lie Groups
by

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

Description:
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: Introduction to Lie Groups, Adjoint Action and Some GeneralizationsIntroduction to Lie Groups, Adjoint Action and Some Generalizations
by - arXiv
These lecture notes provide a concise introduction to Lie groups, Lie algebras, and isometric and adjoint actions, aiming at advanced undergraduate and graduate students. A special focus is given to maximal tori and roots of compact Lie groups.
(10802 views)
Book cover: Notes on Differential Geometry and Lie GroupsNotes on Differential Geometry and Lie Groups
by - University of Pennsylvania
Contents: Introduction to Manifolds and Lie Groups; Review of Groups and Group Actions; Manifolds; Construction of Manifolds From Gluing Data; Lie Groups, Lie Algebra, Exponential Map; The Derivative of exp and Dynkin's Formula; etc.
(12339 views)
Book cover: Lie Groups, Physics, and GeometryLie Groups, Physics, and Geometry
by - Drexel University
The book emphasizes the most useful aspects of Lie groups, in a way that is easy for students to acquire and to assimilate. It includes a chapter dedicated to the applications of Lie group theory to solving differential equations.
(12168 views)
Book cover: Lectures on Lie Groups and Representations of Locally Compact GroupsLectures on Lie Groups and Representations of Locally Compact Groups
by - Tata Institute of Fundamental Research
We consider some heterogeneous topics relating to Lie groups and the general theory of representations of locally compact groups. We have rigidly adhered to the analytic approach in establishing the relations between Lie groups and Lie algebras.
(10912 views)