Continuous Groups Of Transformations
by Luther Pfahler Eisenhart
Publisher: Princeton University Press 1933
Number of pages: 319
This book 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. The first three chapters contain in the main the results of the first period.
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by G.D. Mostow - Tata Institute of Fundamental Research
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; etc.
by Alexander Kirillov, Jr. - 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.
by Marcos M. Alexandrino, Renato G. Bettiol - 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.
by Jean Gallier - 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.