Complex Semisimple Lie Algebras

Description

These short notes, already well-known in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers, including 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 linear representations. The last chapter discusses the connection between Lie algebras, complex groups and compact groups; it is intended to guide the reader towards further study.

Subjects

Other Editions

• Complex Semisimple Lie AlgebrasIsland Press2000-01-01
• Complex Semisimple Lie AlgebrasSpringer London, Limited2012-01-01
• Complex Semisimple Lie AlgebraspaperbackSpringer2012-10-21
• Complex Semisimple Lie AlgebrasSpringer London, Limited2013-01-01