Lie Groups Beyond an Introduction (eBook, PDF)
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"This is a wonderful choice of material. Any graduate student interested in Lie groups, differential geometry, or representation theory will find useful ideas on almost every page. Each chapter is followed by a long collection of problems [that] are interesting and enlightening [and] there are extensive hints at the back of the book. The exposition...is very careful and complete... Altogether this book is delightful and should serve many different audiences well. It would make a fine text for a second graduate course in Lie theory... The presence of references and absence of errors make it wel...
"This is a wonderful choice of material. Any graduate student interested in Lie groups, differential geometry, or representation theory will find useful ideas on almost every page. Each chapter is followed by a long collection of problems [that] are interesting and enlightening [and] there are extensive hints at the back of the book. The exposition...is very careful and complete... Altogether this book is delightful and should serve many different audiences well. It would make a fine text for a second graduate course in Lie theory... The presence of references and absence of errors make it well-suited for self-study." -Bulletin of the AMS "The important feature of the present book is that it starts from the beginning (with only a very modest knowledge assumed) and covers all important topics... The book is very carefully organized [and] ends with 20 pages of useful historic comments. Such a comprehensive and carefully written treatment of fundamentals of the theory will certainly be a basic reference and textbook in the future." -Newsletter of the EMS 'Lie Groups Beyond an Introduction' takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics.
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