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Keywords
- Algebraische Gruppen
- Exceptional Lie Algebras
- Exzeptionelle Liealgebren
- Halbeinfache Liegruppen
- Lie Algebren
- Lie Gruppen
- Lie groups
- Semi-simple Lie Groups
- algebraic groups
- lie algebras
- theoretical physics
About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: Lie Groups and Lie Algebras III
Book Subtitle: Structure of Lie Groups and Lie Algebras
Editors: A L Onishchik, E. B. Vinberg
Series Title: Encyclopaedia of Mathematical Sciences
Publisher: Springer Berlin, Heidelberg
Copyright Information: Springer-Verlag Berlin Heidelberg 1994
Hardcover ISBN: 978-3-540-54683-2Published: 12 July 1994
Softcover ISBN: 978-3-642-08120-0Published: 15 December 2010
Series ISSN: 0938-0396
Edition Number: 1
Number of Pages: V, 250
Additional Information: Original Russian edition published by VINITI, Moscow, 1990