On the Block Structure of Supersolvable Restricted Lie Algebras
✍ Scribed by Jörg Feldvoss
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 241 KB
- Volume
- 183
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let F be a field of characteristic p ) 0, L a generalized restricted Lie algebra Ž . over F, and P L the primitive p-envelope of L. A close relation between Ž . L-representations and P L -representations is established. In particular, the irreducible -reduced modules of L for any g L\* coincide with
## DEDICATED TO PROFESSOR GUANG-YU SHEN ON THE OCCASION OF HIS 65TH BIRTHDAY Let F be an algebraically closed field of characteristic p ) 2. In this paper, the concepts of generalized restricted Lie algebras and their generalized restricted representations over F are introduced. Any graded Lie alg
If is a split Lie algebra, which means that is a Lie algebra with a root decomposition = + α∈ α , then the roots of can be classified into different types: a root α ∈ is said to be of nilpotent type if all subalgebras x α x -α = span x α x -α x α x -α for x ±α ∈ ±α are nilpotent, and of simple type
After having given the classification of solvable rigid Lie algebras of low dimensions, we study the general case concerning rigid Lie algebras whose nilradical is filiform and present their classification.