Lie Groups, Physics, and Geometry
by Robert Gilmore
Publisher: Drexel University 2007
Number of pages: 222
Description:
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.
Download or read it online for free here:
Download link
(multiple PDF files)
Similar books
An Introduction to the Lie Theory of One-Parameter Groupsby Abraham Cohen - D.C. Heath & co
The object of this book is to present in an elementary manner, in English, an introduction to Lie s theory of one-parameter groups, with special reference to its application to the solution of differential equations invariant under such groups.
(5504 views)
Roots of a Compact Lie Groupby 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.
(7616 views)
Lie Groups in Physicsby G. 't Hooft, M. J. G. Veltman - Utrecht University
Contents: Quantum mechanics and rotation invariance; The group of rotations in three dimensions; More about representations; Ladder operators; The group SU(2); Spin and angular distributions; Isospin; The Hydrogen Atom; The group SU(3); etc.
(15219 views)
Lectures on Discrete Subgroups of Lie Groupsby 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.
(9116 views)