Complex Semisimple Lie Algebras

Jean-Pierre Serre

Complex Semisimple Lie Algebras
Format
Paperback
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country
Germany
Published
21 October 2012
Pages
75
ISBN
9783642632228

Complex Semisimple Lie Algebras

Jean-Pierre Serre

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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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