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.
Serija: | Encyclopaedia of Mathematical Sciences |
Leidėjas: | Springer Berlin Heidelberg |
Išleidimo metai: | 1994 |
Knygos puslapių skaičius: | 260 |
ISBN-10: | 3540546839 |
ISBN-13: | 9783540546832 |
Formatas: | Knyga kietu viršeliu |
Kalba: | Anglų |
Žanras: | Differential and Riemannian geometry |
Parašykite atsiliepimą apie „Lie Groups and Lie Algebras III: Structure of Lie Groups and Lie Algebras“