Description
Book Synopsis: 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.
Details
Discover the power of Lie group theory with Lie Groups, Lie Algebras, and Some of Their Applications. This comprehensive Dover book on mathematics is the key to unlocking the unifying language of physics. Whether you're a student or a passionate learner, this book is the perfect resource to understand the mathematical foundations behind modern physical theories.
Unveiling introductory concepts, this text takes you on a captivating journey through classical groups, continuous groups, and Lie groups. By exploring the intertwined relationship between Lie groups and Lie algebras, you'll gain an economical way to express concepts and results from various fields of physics. With rigor and clarity, this book provides upper-level undergraduate students with the tools they need to succeed in their studies.
Dive into the fascinating world of Lie algebras and root spaces as you delve deeper into the subject matter. The book provides insightful examples, exercises, and solved problems to solidify your understanding. Dynkin diagrams, real forms, contractions, expansions, and more await you on this enriching journey through Lie group theory.
Don't miss this chance to grasp the essential concepts of Lie group theory and its physical applications. Take the first step towards mastering this influential mathematical framework by acquiring Lie Groups, Lie Algebras, and Some of Their Applications today!
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