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Theory of Lie Groups - Chevalley, Claude
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The standard text on the subject for many years, this introductory treatment covers classical linear groups, topological groups, manifolds, analytic groups, differential calculus of Cartan, and compact Lie groups and their representations. 1946 edition.

Theory of Lie Groups 2018, Dover Publications

ISBN-13: 9780486824536

Trade paperback

Theory of Lie Groups 2000, Princeton University Press, Princeton

ISBN-13: 9780691049908

Trade paperback