Introductory Treatise On Lie's Theory Of Finite Continuous Transformation Groups
by John Edward Campbell
Publisher: Oxford Clarendon Press 1903
Number of pages: 460
In this treatise an attempt is made to give, in as elementary a form as possible, the main outlines of Lie's theory of Continuous Groups. Even those familiar with the theory of Continuous Groups may find something new in the form in which the theory is here presented.
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by Robert Gilmore - 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.
by Luther Pfahler Eisenhart - 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.
by Kristopher Tapp - 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.
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.