A module-theoretic interpretation of some character formula
✍ Scribed by Burkhard Külshammer
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 221 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0021-8693
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## 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
We define a property of substructures of models of arithmetic, that of being length-initial, and show that sharply bounded formulae are absolute between a model and its length-initial submodels. We use this to prove independence results for some weak fragments of bounded arithmetic by constructing a