Complex Semisimple Lie Algebras (Hardcover, 1st ed. 1987. Reprint 2000)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Springer Monographs in Mathematics
Release date:	December 2000
First published:	2001
Translators:	Glen Jones
Authors:	Jean-Pierre Serre
Dimensions:	235 x 155 x 13mm (L x W x T)
Format:	Hardcover
Pages:	75
Edition:	1st ed. 1987. Reprint 2000
ISBN-13:	978-3-540-67827-4
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
LSN:	3-540-67827-1
Barcode:	9783540678274

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