Encyclopaedia of Mathematical Sciences

Structure of Lie Groups and Lie Algebras

By: V.V. Gorbatsevich (Contribution by), A.L. Onishchik (Editor), V. Minachin (Translator)

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Paperback | 15 December 2010

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260 Pages

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23.39 x 15.6 x 1.4

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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.

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