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: Notes on Classical GroupsNotes on Classical Groups
by - Queen Mary and Westfield College
Notes for an M.Sc. course: Fields and vector spaces; Linear and projective groups; Polarities and forms; Symplectic groups; Unitary groups; Orthogonal groups; Klein correspondence and triality; A short bibliography on classical groups.
Book cover: Lie groups and Lie algebrasLie groups and Lie algebras
by - UC Berkeley
From the table of contents: Tangent Lie algebras to Lie groups; Simply Connected Lie Groups; Hopf Algebras; PBW Theorem and Deformations; Lie algebra cohomology; Engel's Theorem and Lie's Theorem; Cartan Criterion, Whitehead and Weyl Theorems; etc.
Book cover: Roots of a Compact Lie GroupRoots of a Compact Lie Group
by - arXiv
This expository article introduces the topic of roots in a compact Lie group. Compared to the many other treatments of this standard topic, I intended for mine to be relatively elementary, example-driven, and free of unnecessary abstractions.
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.