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.Download
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