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Dimensions of the Simple Restricted Modules for the Restricted Contact Lie Algebra

✍ 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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πŸ“œ SIMILAR VOLUMES


Simple Restricted Modules for the Restri
✍ Randall R. Holmes πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 370 KB

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

Generalized Restricted Lie Algebras and
✍ Bin Shu πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 309 KB

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

Character formulas for restricted simple
✍ Bin Shu; Yu-Feng Yao πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 196 KB

## 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 iso‐classes of simple restricted modules of these algebras are classified, and the character formulas of restricted simple modules are given

Simple Modules with Character Height at
✍ Randall R Holmes πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 190 KB

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.