An Introduction to Lie Groups and Lie Algebras


An Introduction to Lie Groups and Lie Algebras

This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Lie theory, in its own right, has become regarded as a classical branch of mathematics. Written in an informal style, this is a contemporary introduction to the subject which emphasizes the main concepts of the proofs and outlines the necessary technical details, allowing the material to be conveyed concisely. Based on a lecture course given by the author at the State University of New York at Stony Brook, the book includes numerous exercises and worked examples and is ideal for graduate courses on Lie groups and Lie algebras.


 Reviews:

"The book is a very concise and nice introduction to Lie groups and Lie algebras. It seems to be well suited for a course on the subject. The exercises and examples will be useful in that case."
Erik Koelink, Mathematical Reviews

"I strongly recommend this book as a possible selection for graduate course(s), as well as independent study, or individual reading."
Mihaela Poplicher, MAA Reviews

'There are many exercises … The last appendix contains a useful detailed sample syllabus for a one-semester graduate course (two lectures a week).' EMS Newsletter

'The book is a very concise and nice introduction to Lie groups and Lie algebras. It seems to be well suited for a course on the subject.' Mathematical Reviews

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