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Title: Lie Algebras and Lie Groups: 1964 Lectures Given at Harvard University (Grundlehren Der Mathematischen Wissenschaften) by Jean-Pierre Serre ISBN: 0-387-55008-9 Publisher: Springer-Verlag Pub. Date: June, 1996 Format: Paperback Volumes: 1 List Price(USD): $39.95

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Average Customer Rating: 4 (1 review)

Rating: 4
Summary: Nice and complete, but very Bourbaki-looking.
Comment: The same problem with all Bourbaki authors: They treat the subject in a very concise, abstract, and authoritative way, but present almost no motivation to introduce the subject, and they are not so used to give extensive and accurate references. Of course Serre is a leading expert in the field, but he (nobody) cannot be regarded as the inventor of the theory, so the absence of such a bibliography is not justifiable.

The contents of the book are: Lie algebras, filtered groups and lie algebras, universal algebra of a Lie algebra, free Lie algebras, nilpotent and solvable Lie algebras, semisimple Lie algebras, representations of sl_n, complete fields, analytic functions, analytic manifolds, analytic groups, Lie theory. Includes excercises.

Useful for graduate students and working mathematicians, along with a "lighter" reference.

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