The simple restricted modules for the restricted simple Cartan-type Lie algebras fall into two classes. There is a large class consisting of modules induced from simple modules for the subalgebra of nonnegative components. Then there is the small class of exceptional simple modules. Explicit constru
Dimensions of the Simple Restricted Modules for the Restricted Contact Lie Algebra
β Scribed by R.R. Holmes
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 757 KB
- Volume
- 170
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Let F be a field of characteristic p ) 0, L a generalized restricted Lie algebra Ε½ . over F, and P L the primitive p-envelope of L. A close relation between Ε½ . L-representations and P L -representations is established. In particular, the irreducible -reduced modules of L for any g L\* coincide with
## Abstract Let __k__ be an algebraically closed field of prime characteristic __p__ > 2, and let __S__(__n__) be the special Lie superalgebra over __k__. The isoβclasses of simple restricted modules of these algebras are classified, and the character formulas of restricted simple modules are given
The simple modules with character height at most one for the restricted Witt algebras are considered. Their classification, construction, and dimension formulas are reduced to the same for the general linear algebra. Results of Chang and Shen are recovered in the process.