Synopses & Reviews
Lie group theory plays an increasingly important role in modern physical theories. Many of its calculations remain fundamentally unchanged from one field of physics to another, altering only in terms of symbols and the language. Using the theory of Lie groups as a unifying vehicle, concepts and results from several fields of physics can be expressed in an extremely economical way. With rigor and clarity, this text introduces upper-level undergraduate students to Lie group theory and its physical applications.
An opening discussion of introductory concepts leads to explorations of the classical groups, continuous groups and Lie groups, and Lie groups and Lie algebras. Some simple but illuminating examples are followed by examinations of classical algebras, Lie algebras and root spaces, root spaces and Dynkin diagrams, real forms, and contractions and expansions. Reinforced by numerous exercises, solved problems, and figures, the text concludes with a bibliography and indexes.
Synopsis
Using exercises, solved problems, and numerous figures, this treatment for upper-level undergraduates and graduate students illustrates the many ways in which different areas of physics can be presented in an extremely economical way by Lie groups and algebras.
Synopsis
With rigor and clarity, this upper-level undergraduate text employs numerous exercises, solved problems, and figures to introduce upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in expressing concepts and results from several fields of physics. 1974 edition. Includes 75 figures and 17 tables.
Table of Contents
1. Introductory Concepts
2. The Classical Groups
3. Continuous GroupsLie Groups
4. Lie Groups and Lie Algebras
5. Some Simple Examples
6. Classical Algebras
7. Lie Algebras and Root Spaces
8. Root Spaces and Dynkin Diagrams
9. Root Forms
10. Contractions and Expansions
Bibliography
Author Index
Subject Index