Item description for Lie Groups and Lie Algebras: Chapters 1-3 by Nicolas Bourbaki...
This is the softcover reprint of the English translation of 1975 (available from Springer since 1989) of the first 3 chapters of Bourbaki's 'Groupes et algbres de Lie'. The first chapter describes the theory of Lie algebras, their derivations, their representations and their enveloping algebras. In Ch. 2, free Lie algebras are introduced in order to discuss the exponential, logarithmic and the Hausdorff series. Ch. 3 deals with the theory of Lie groups over R and C and ultrametric fields. It describes the connections between their local and global properties, and the properties of their Lie algebras. It is one of the very best references on this subject.
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Est. Packaging Dimensions: Length: 9.2" Width: 6" Height: 1.1" Weight: 1.55 lbs.
Release Date Oct 15, 2004
ISBN 3540642420 ISBN13 9783540642428
Availability 127 units. Availability accurate as of Oct 22, 2016 05:51.
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Reviews - What do customers think about Lie Groups and Lie Algebras: Chapters 1-3?
great as references, and.. Mar 9, 2006
...even better when supplemented by other texts (be wary though, as the notation of Bourbaki is not universally accepted). I'd buy them simply for their sparkling clarity and careful attention to rigour (esp. Commalg, Lie theory and integration). These are wonderfully crafted, masterful expositions, and should not, by any means, be overlooked by the (aspiring) pure mathematician.