ENGLISH

Complex semisimple Lie algebras

By Jean-Pierre Serre , G.A. Jones

Book information

Publisher
Springer
Year
2001
ISBN
9783540678274, 3540678271
ISSN
1439-7382
LCC
QA252.3 .S4813 2001
Open Library ID
OL24811087M
Language
english
Format
DJVU
Filesize
503 kB (515284 bytes)
Series
Springer monographs in mathematics
Pages
87\87
Topic
Mathematics Algebra
Library
kolxoz
DPI
300
Time added
2009-07-20 03:45:11

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.

Similar books