Restricted Envelopes of Lie Superalgebrast

• 作者: Boying Wu Liping Sun Wende Liu Xiaocheng Gao
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 信封 李超代数 表示定理 李代数 模块化
• 年，卷（期）: 2015,（2）
• 页码范围: 309-320
• 页数: 12页
• 分类号: O152.5
• 语种: 中文

摘要

Certain important results concerning p-envelopes of modular Lie algebras are generalized to the super-case. In particular, any p-envelope of the Lie algebra of a Lie superalgebra can be naturally extended to a restricted envelope of the Lie superalgebra. As an application, a theorem on the representations of Lie superalgebras is given, which is a super-version of Iwasawa's theorem in Lie algebra case. As an example, the minimal restricted envelopes are computed for three series of modular Lie superalgebras of Cartan type.