An edition of Complex Semisimple Lie Algebras
(2000)
Complex Semisimple Lie Algebras
by Glen Jones
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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.
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Source title: Complex Semisimple Lie Algebras (Springer Monographs in Mathematics)
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