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Complex Semisimple Lie Algebras
Jean-Pierre Serre
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Description for Complex Semisimple Lie Algebras
Hardcover. Includes short notes that present the basic theory of semisimple Lie algebras over the complex numbers. This title begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. It introduce Cartan subalgebras, root systems, and linear representations. Translator(s): Jones, Glen A. Series: Springer Monographs in Mathematics. Num Pages: 83 pages, biography. BIC Classification: PBF; PBG. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 6. Weight in Grams: 311.
These notes are a record of a course given in Algiers from 10th 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 ... Read more
These notes are a record of a course given in Algiers from 10th 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 ... Read more
Product Details
Publisher
Springer
Format
Hardback
Publication date
2001
Series
Springer Monographs in Mathematics
Condition
New
Weight
310g
Number of Pages
75
Place of Publication
Berlin, Germany
ISBN
9783540678274
SKU
V9783540678274
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Complex Semisimple Lie Algebras
From the reviews of the French edition: "...the book is intended for those who have an acquaintance with the basic parts of the theory, namely, with those general theorems on Lie algebras which do not depend on the notion of Cartan subalgebra. The author begins with a summary of these general theorems and then discusses in detail the ... Read more