Complex semisimple Lie algebras
By: Jean-Pierre Serre ; translated from the French by G.A. Jones
Publisher: Springer-Verlag; Springer
Published: 1987
Place of publication: New York
Language: eng
Number of pages: 74
Subjects: Lie algebras
Work titles: Algèbres de Lie semi-simples complexes
Description: 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.
Notes: Translation of: Algèbres de Lie semi-simples complexes.

Includes index.

Bibliography: p. 71-72.