We show that each Mal'cev splittable -Lie algebra (i.e., each -Lie algebra where ad is splittable) with char = 0 may be realized as a splittable subalgebra of a gl V , where V is a finite-dimensional vector space over , and that each Mal'cev splittable analytic subgroup of a GL n , i.e., each subgro
Lie groups and Lie algebras 03
β Scribed by A.L. Onishchik, A.L. Onishchik, E.B. Vinberg, E.B. Vinberg, V. Minachin, V.V. Gorbatsevich
- Book ID
- 127428332
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 2 MB
- Series
- Encyclopaedia of Mathematical Sciences 41
- Edition
- 1
- Category
- Library
- ISBN-13
- 9783540546832
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
π SIMILAR VOLUMES
This book has grown out of a set of lecture notes I had prepared for a course on Lie groups in 1966. When I lectured again on the subject in 1972, I revised the notes substantially. It is the revised version that is now appearing in book form. The theory of Lie groups plays a fundamental role in man
This book has grown out of a set of lecture notes I had prepared for a course on Lie groups in 1966. When I lectured again on the subject in 1972, I revised the notes substantially. It is the revised version that is now appearing in book form. The theory of Lie groups plays a fundamental role in man
The book by Gorbatsevich, Onishchik and Vinberg is the first in a series of volumes devoted to the theory of Lie groups and Lie algebras. The first part of the book deals with the foundations of the theory based on the classical global approach of Chevalley followed by an exposition of the alternati
The book by Gorbatsevich, Onishchik and Vinberg is the first in a series of volumes devoted to the theory of Lie groups and Lie algebras. The first part of the book deals with the foundations of the theory based on the classical global approach of Chevalley followed by an exposition of the alternati