Complex Semisimple Lie Algebras is popular PDF and ePub book, written by Jean-Pierre Serre in 2013-03-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Complex Semisimple Lie Algebras can be Read Online from any device for your convenience.
Complex Semisimple Lie Algebras Book PDF Summary
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.
Detail Book of Complex Semisimple Lie Algebras PDF
- Author : Jean-Pierre Serre
- Release : 14 March 2013
- Publisher : Springer Science & Business Media
- ISBN : 9781475739107
- Genre : Mathematics
- Total Page : 82 pages
- Language : English
- PDF File Size : 7,7 Mb
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