Lie Groups and Lie Algebras Structure of Lie Groups and Lie Algebras : Structure of Lie Groups and Lie Algebras (Encyclopaedia of Mathematical Science

Dieser EMS-Band enthält eine umfassende Darstellung eines zentralen Themas in diesem Gebiet: die Struktur und Klassifikation der Liegruppen und endlichdimensionalen Liealgebren. Onishchik und Vinberg sind international anerkannte Experten auf ihrem Gebiet. Beide sind auch als Autoren der Monographie "Lie Groups and Algebraic Groups" bekannt. The book contains a comprehensive account of the structure and classification of Lie groups and finite-dimensional Lie algebras (including semisimple, solvable, and of general type). In particular, a modern approach to the description of automorphisms and gradings of semisimple Lie algebras is given. A special chapter is devoted to models of the exceptional Lie algebras. The book contains many tables and will serve as a reference. At the same time many results are accompanied by short proofs. Onishchik and Vinberg are internationally known specialists in their field and well-known for their monograph "Lie Groups and Algebraic Groups" (Springer-Verlag 1990). This Encyclopaedia volume will be immensely useful to graduate students in differential geometry, algebra and theoretical physics. Contents: Structure of Lie Groups and Lie Algebras by V.V. Gorbatsevich, A.L. Onishchik and E.B. Vinberg.