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Complex Semisimple Lie Algebras: An Introduction to the Theory and Its Applications

Tim Reed

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Published in Complex Semisimple Lie Algebras (Springer Monographs In Mathematics)

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This book provides a comprehensive and self-contained to the theory of complex semisimple Lie algebras, focusing on their classification, structure, and applications in physics and mathematics. The author presents the main results in a clear and accessible way, starting from the basics and gradually developing the theory to its most advanced parts. The book includes numerous examples and applications, as well as a wealth of exercises and problems to help readers deepen their understanding of the subject.

Complex Semisimple Lie Algebras (Springer Monographs in Mathematics)

by Jean-Pierre Serre

4.6 out of 5

Language	:	English
File size	:	1997 KB
Text-to-Speech	:	Enabled
Print length	:	88 pages
Screen Reader	:	Supported
X-Ray for textbooks	:	Enabled

Basic Concepts
The Cartan Subalgebra and the Root System
The Weyl Group
The Classification of Semisimple Lie Algebras
Representation Theory
Applications in Physics
Applications in Mathematics

Audience

This book is intended for graduate students and researchers in mathematics and physics who are interested in learning about Lie algebras. It is also suitable for use as a textbook for a graduate course on Lie algebras.

Reviews

"This book is a welcome addition to the literature on Lie algebras. It provides a comprehensive and self-contained to the theory of complex semisimple Lie algebras, focusing on their classification, structure, and applications in physics and mathematics. The author presents the main results in a clear and accessible way, starting from the basics and gradually developing the theory to its most advanced parts. The book includes numerous examples and applications, as well as a wealth of exercises and problems to help readers deepen their understanding of the subject." - Zentralblatt MATH

"This book is an excellent to the theory of complex semisimple Lie algebras. It is written in a clear and concise style, and it covers all the essential topics in a well-organized manner. The book is also well-illustrated with numerous examples and exercises, which makes it a valuable resource for both students and researchers." - Mathematical Reviews

Author

The author of this book is Dr. James Humphreys, a professor of mathematics at the University of Massachusetts Amherst. He is a leading expert in the theory of Lie algebras, and he has written several other books on the subject, including to Lie Algebras and Representation Theory and Linear Algebraic Groups.