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Complex semisimple Lie algebras

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

Book ID
127397065
Publisher
Springer
Year
2001
Tongue
English
Weight
503 KB
Series
Springer monographs in mathematics
Category
Library
City
Berlin; New York
ISBN
3540678271
ISSN
1439-7382

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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.

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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 ca

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[Springer Monographs in Mathematics] Complex Semisimple Lie Algebras || Linear Representations of Semisimple Lie Algebras
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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 ca

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[Springer Monographs in Mathematics] Complex Semisimple Lie Algebras || Nilpotent Lie Algebras and Solvable Lie Algebras
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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 ca