Cover Image

Complex Semisimple Lie Algebras /

Show other versions (2)

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. Subsequ...

Full description

Bibliographic Details
Main Author: Serre, Jean-Pierre, 1926-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint : Springer, 2001.
Series:Springer monographs in mathematics.
Subjects:
Mathematics.
Topological groups.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Nilpotent Lie Algebras and Solvable Lie Algebras
  • Semisimple Lie Algebras (General Theorems)
  • Cartan Subalgebras
  • The Algebra sl2 and Its Representations
  • Root Systems
  • Structure of Semisimple Lie Algebras
  • Linear Representations of Semisimple Lie Algebras
  • Complex Groups and Compact groups
  • Bibliography
  • Index.