Lie groups and Lie algebras

By:

Bourbaki, Nicolas [author.]

Material type:

TextLanguage: English Original language: French Series: Elements of mathematics | Elements of mathematicsPublication details: Paris : Springer, 1975.Description: 1 v.(xvii, 450 p.) ; 24 cmISBN:

9783540642428

Subject(s):

Other classification:

B27m09 M9 NBHM

Contents:

Part 1. Chapters 1-3.

Summary: 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 algèbres 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.

Item type:

Textual

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Holdings
Cover image	Item type	Current library	Home library	Collection	Shelving location	Call number	Materials specified	Vol info	URL	Copy number	Status	Notes	Date due	Barcode	Item holds	Item hold queue priority	Course reserves
	Textual	Faculty of Mathematical Sciences Library	Central Science Library			B27m09 M9 NBHM (Browse shelf(Opens below))					Available			SL1656241

Translation of Groupes et algèbres de Lie.

Includes index.

Bibliography: v. 1, p. 430-433.

Part 1. Chapters 1-3.

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 algèbres 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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