Structures and Representations of Generalized Path Algebras
โ Scribed by Shouchuan Zhang; Yao-Zhong Zhang
- Publisher
- Springer Netherlands
- Year
- 2006
- Tongue
- English
- Weight
- 380 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1386-923X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let F be a field of characteristic p ) 0, L a generalized restricted Lie algebra ลฝ . over F, and P L the primitive p-envelope of L. A close relation between ลฝ . L-representations and P L -representations is established. In particular, the irreducible -reduced modules of L for any g L\* coincide with
In a recent paper by Xu, some simple Lie algebras of generalized Cartan type were constructed, using the mixtures of grading operators and down-grading operators. Among them are the simple Lie algebras of generalized Witt type, which are in general nongraded and have no torus. In this paper, some re