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Lie Groups and Lie Algebras: Chapters 1-3 de N. Bourbaki

Lie Groups and Lie Algebras: Chapters 1-3

Autor N. Bourbaki
en Limba Engleză Paperback – 3 aug 1998
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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Specificații

ISBN-13: 9783540642428
ISBN-10: 3540642420
Pagini: 484
Ilustrații: XVII, 461 p.
Dimensiuni: 155 x 235 x 29 mm
Greutate: 0.67 kg
Ediția:1st ed. 1989. 2nd printing 1998
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Lie Algebras; Free Lie Algebras; Lie Groups, Historical Notes; Exercises,

Textul de pe ultima copertă

The purpose of the Elements of Mathematics by Nicolas Bourbaki is to provide a formal, systematic presentation of mathematics from their beginning. This volume contains chapters 4 to 6 of the book on Lie Groups and Lie Algebras. It is devoted to root systems, Coxeter groups and Tits systems, which occur in the study of analytic or algebraic Lie groups. It contains the following chapters:
4. Coxeter Groups and Tits Systems.
5. Groups Generated by Reflections.
6. Root systems.
This is the softcover reprint of the English translation of Bourbaki's text Groupes et Algèbres de Lie, chapitres 4 à 6.

Caracteristici

Includes supplementary material: sn.pub/extras