Complex Semisimple Lie Algebras - Jean-Pierre Pierre Serre - Hardcover

These notes, already well known in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers including the basic 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 representation theory. The theory is illustrated by using the example of sln; in particular, the representation theory of sl2 is completely worked out. The last chapter discusses the connection between Lie algebras and Lie groups, and is intended to guide the reader towards further study.Serre, Jean Pierre is the author of 'Complex Semisimple Lie Algebras - Jean-Pierre Pierre Serre - Hardcover' with ISBN 9780387965697 and ISBN 0387965696.