A classic graduate textbook and reference, originally published as AlgFbres enveloppantes . Provides a systematic exposition of the algebraic approach to representations of Lie groups via representations of the corresponding universal enveloping algebras. Assumes a general knowledge of Lie groups, and outlines the specific aspects needed. The 1996 reprint updates the status of open problems and adds a couple pages of bibliographic references. Annotation c. by Book News, Inc., Portland, Or.
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Text: English (translation)
Original Language: French
"For the graduate student, this is a masterpiece of pedagogical writing, being succinct, wonderfully self-contained and of exceptional precision." -- Mathematical Reviews
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"Self-contained, written with precision and elegance ... an excellent textbook for the graduate student, a very good background for the professional algebraist not very familiar with the subject and a very useful source of references for the expert." --Zentralblatt fr Mathematik
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