## 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
Graded Lie Algebras of Maximal Class, II
β Scribed by A Caranti; M.F Newman
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 210 KB
- Volume
- 229
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
We describe the isomorphism classes of infinite-dimensional N-graded Lie algebras of maximal class over fields of odd characteristic generated by their first homogeneous component.
π SIMILAR VOLUMES
We describe finite Z-gradings of simple Lie algebras.
The first family of Kac-Moody Lie algebras studied are the simple Lie algebras. The study of nilpotent Lie algebras of maximal rank and of type A B C D was made by Favre and Santharoubane in [5]. Later, Agrafiotou and Tsagas studied these algebras, of types E 6 E 7 , and E 8 finding that there exist
## Abstract We classify the compatible leftβsymmetric algebraic structures on the Witt algebra satisfying certain nonβgraded conditions. It is unexpected that they are Novikov algebras. Furthermore, as applications, we study the induced nonβgraded modules of the Witt algebra and the induced Lie alg