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: 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.
(3996 views)
Book cover: Continuous Groups Of TransformationsContinuous Groups Of Transformations
by - Princeton University Press
'Continuous Groups Of Transformations' sets forth the general theory of Lie and his contemporaries and the results of recent investigations with the aid of the methods of the tensor calculus and concepts of the new differential geometry.
(2576 views)
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 ...
(1694 views)
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.
(10040 views)