Lie Groups and Lie Algebras III - Structure of Lie Groups and Lie Algebras

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.

List of contents

Contents: Structure of Lie Groups and Lie Algebras by V.V. Gorbatsevich, A.L. Onishchik and E.B. Vinberg.

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Product details

• Authors: V. V. Gorbatsevich
• Assisted by: B Vinberg (Editor), B Vinberg (Editor), L Onishchik (Editor), A L Onishchik (Editor), V. Minachin (Editor), A L Onishchik (Editor), A. L. Onishchik (Editor), Arkady L. Onishchik (Editor), E. B. Vinberg (Editor), E.B. Vinberg (Editor), V. Minachin (Translation)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 12.10.2010
• EAN: 9783642081200
• ISBN: 978-3-642-08120-0
• No. of pages: 250
• Dimensions: 154 mm x 16 mm x 234 mm
• Weight: 409 g
• Illustrations: V, 250 p.
• Series: Encyclopaedia of Mathematical Sciences; Encyclopaedia of Mathematical Sciences
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra