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.
General
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