Elements of Mathematics. Lie Groups and Lie Algebras. Chapters 1-3, Band Chapt.1-3

Seitenzahl:

450

Gewicht:

614 g

Auflage:

2. Printing

Erschienen bei:

Springer

Beschreibung

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.

Kurzbeschreibung

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. TOC:Lie Algebras; Free Lie Algebras; Lie Groups, Historical Notes; Exercises,

Mehr über...

Mehr über:  Gruppe (mathematisch) / Liesche Gruppen, Lie-Algebra, Liesche Gruppen - Lie-Algebra, Lie-Algebra ( Liesche Gruppen ), Invariante, Liesche Algebren/Gruppen, lie groups, lie algebras, fields of point distribution, invariant differential forms, invariant tensors, Tensoralgebra, Mathematik; Handbuch/Lehrbuch

Mehr von: 

Mehr von:  Nicolas Bourbaki, Springer-Verlag GmbH