✦ LIBER ✦

Character formulas for restricted simple modules of the special superalgebras

✍ Scribed by Bin Shu; Yu-Feng Yao

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 196 KB
Volume: 285
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.201000064

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✦ Synopsis

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.

📜 SIMILAR VOLUMES

Simple Modules with Character Height at

Simple Modules with Character Height at Most One for the Restricted Witt Algebras

✍ Randall R Holmes 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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.