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Complex semisimple Lie algebras

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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 subalgebras, root systems, and linear representations. The last chapter discusses the connection between Lie algebras, complex groups and compact groups. The book is intended to guide the reader towards further study.

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Complex semisimple Lie algebras, Jean Pierre Serre

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Année de publication
2001
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Titre
Complex semisimple Lie algebras
Langue
Anglais
Éditeur
Springer
Publié
2001
Format
rigide
ISBN10
3540678271
ISBN13
9783540678274
Séries
Évaluation
4,45 sur 5
Description
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 subalgebras, root systems, and linear representations. The last chapter discusses the connection between Lie algebras, complex groups and compact groups. The book is intended to guide the reader towards further study.