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Complex Semisimple Lie Algebras

โœ Scribed by Jean-Pierre Serre, G.A. Jones

Publisher
Springer
Year
2001
Tongue
English
Leaves
87
Edition
1
Category
Library
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โœฆ Synopsis

These notes, already well known in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers including the basic classification theorem. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters introduce Cartan subalgebras, root systems, and representation theory. The theory is illustrated by using the example of sln; in particular, the representation theory of sl2 is completely worked out. The last chapter discusses the connection between Lie algebras and Lie groups, and is intended to guide the reader towards further study.

๐Ÿ“œ SIMILAR VOLUMES

Complex semisimple Lie algebras
๐Ÿ“ Complex semisimple Lie algebras
โœ Serre J.-P. ๐Ÿ“‚ Library ๐Ÿ“… 2000 ๐Ÿ› Springer ๐ŸŒ English

These short notes, already well-known in their original French edition, present the basic theory of semisimple Lie algebras over the complex numbers. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters introduce Cartan s

Complex Semisimple Lie Algebras
๐Ÿ“ Complex Semisimple Lie Algebras
โœ Jean-Pierre Serre ๐Ÿ“‚ Library ๐Ÿ“… 2001 ๐Ÿ› Springer ๐ŸŒ English

These short notes, already well-known in their original French edition, present the basic theory of semisimple Lie algebras over the complex numbers. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters introduce Cartan s

Complex Semisimple Lie Algebras
๐Ÿ“ Complex Semisimple Lie Algebras
โœ Jean-Pierre Serre (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 1987 ๐Ÿ› Springer-Verlag New York ๐ŸŒ English

<p>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