Lie Groups and Lie Algebras: Chapters 1-3
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Book Overview
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 alg bres 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.
Format:Paperback
Language:English
ISBN:3540642420
ISBN13:9783540642428
Release Date:August 1998
Publisher:Springer
Length:461 Pages
Weight:1.48 lbs.
Dimensions:1.0" x 6.1" x 9.2"
Customer Reviews
1 rating
great as references, and..
Published by Thriftbooks.com User , 18 years ago
...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. Cheers, A.
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