Complex Semisimple Lie Algebras | Taschenbuch

Cover: 9780387965697 | Complex Semisimple Lie Algebras | Jean-Pierre Serre | Taschenbuch | ix

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Beschreibung

These notes are a record of a course given in Algiers from lOth to 21st May, 1965. Their contents are as follows. The first two chapters are a summary, without proofs, of the general properties of nilpotent, solvable, and semisimple Lie algebras. These are well-known results, for which the reader can refer to, for example, Chapter I of Bourbaki or my Harvard notes. The theory of complex semisimple algebras occupies Chapters III and IV. The proofs of the main theorems are essentially complete; however, I have also found it useful to mention some complementary results without proof. These are indicated by an asterisk, and the proofs can be found in Bourbaki, Groupes et Algebres de Lie, Paris, Hermann, 1960-1975, Chapters IV-VIII. A final chapter shows, without proof, how to pass from Lie algebras to Lie groups (complex-and also compact). It is just an introduction, aimed at guiding the reader towards the topology of Lie groups and the theory of algebraic groups. I am happy to thank MM. Pierre Gigord and Daniel Lehmann, who wrote up a first draft of these notes, and also Mlle. Franr,:oise Pecha who was responsible for the typing of the manuscript.

Inhaltsverzeichnis

I Nilpotent Lie Algebras and Solvable Lie Algebras.- II Semisimple Lie Algebras (General Theorems).- III Cartan Subalgebras.- IV The Algebra sl2 and Its Representations.- V Root Systems.- VI Structure of Semisimple Lie Algebras.- VII Linear Representations of Semisimple Lie Algebras.- VIII Complex Groups and Compact Groups.

Erscheinungsjahr:	1987
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	ix 74 S.
ISBN-13:	9780387965697
ISBN-10:	0387965696
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Serre, Jean-Pierre
Übersetzung:	Jones, Glen
Hersteller:	Springer US Springer New York
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 6 mm
Von/Mit:	Jean-Pierre Serre
Erscheinungsdatum:	23.10.1987
Gewicht:	0,149 kg

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