Description: Complex Semisimple Lie Algebras, Paperback by Serre, Jean Pierre, ISBN 0387965696, ISBN-13 9780387965697, Brand New, Free shipping in the US 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, 1, 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.
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Book Title: Complex Semisimple Lie Algebras
Number of Pages: IX, 74 Pages
Publication Name: Complex Semisimple Lie Algebras
Language: English
Publisher: Springer New York
Subject: Group Theory, Algebra / Abstract, Topology
Publication Year: 1987
Type: Textbook
Item Weight: 5.4 Oz
Author: Jean-Pierre Serre
Item Length: 9.3 in
Subject Area: Mathematics
Item Width: 6.1 in
Format: Trade Paperback
