Titlebook: Lie Groups, Lie Algebras, and Their Representations; V. S. Varadarajan Textbook 1984 Springer Science+Business Media New York 1984 Algebra

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Structure Theory,ere is an analytic group corresponding to every real or complex Lie algebra. In addition, we shall develop the theory of the universal enveloping algebra in a systematic fashion; this will be of great use in our subsequent discussion of the theory of semisimple Lie groups and their representations.

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Textbook 1984evised the notes substantially. It is the revised version that is now appearing in book form. The theory of Lie groups plays a fundamental role in many areas of mathematics. There are a number of books on the subject currently available -most notably those of Chevalley, Jacobson, and Bourbaki-which

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