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Complex Semisimple Lie Algebras

โœ Scribed by Jean-Pierre Serre

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

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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