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Lie Groups and Lie Algebras III: Structure of Lie Groups and Lie Algebras

Lie Groups and Lie Algebras III: Structure of Lie Groups and Lie Algebras

Paperback

Series: Encyclopaedia of Mathematical Sciences, Book 41

AlgebraGeneral MathematicsGeometry

ISBN10: 3642081207
ISBN13: 9783642081200
Publisher: Springer Nature
Published: Dec 15 2010
Pages: 250
Weight: 0.81
Height: 0.55 Width: 6.14 Depth: 9.21
Language: English
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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