Lie Groups and Lie Algebras III

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.

• 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

• Yaroslavl University, Yaroslavl, Russia

  A L Onishchik

• Department of Mathematics, Moscow State University, Moskva, Russia

  E. B. Vinberg

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