Complex Semisimple Lie Algebras

Author(s): Jean-Pierre Serre

Date: Format: pdf Language: English ISBN/ASIN: 3540678271
Pages: OCR: Quality: ISBN13: 9783540678274
Uploader: Upload Date: 2/23/2019 6:28:24 AM

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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