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Lie Groups, Lie Algebras, and Some of Their Applications
     

Lie Groups, Lie Algebras, and Some of Their Applications

by Robert Gilmore
 

ISBN-10: 0894647598

ISBN-13: 9780894647598

Pub. Date: 02/01/1994

Publisher: Krieger Publishing Company


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

Overview


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.

Product Details

ISBN-13:
9780894647598
Publisher:
Krieger Publishing Company
Publication date:
02/01/1994
Edition description:
REPRINT
Pages:
608

Related Subjects

Table of Contents

1. Introductory Concepts
2. The Classical Groups
3. Continuous Groups—Lie 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

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