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On the structure of simple bounded weight modules of sl(∞),o(∞),sp(∞)
Communications in Algebra ( IF 0.7 ) Pub Date : 2020-06-16 , DOI: 10.1080/00927872.2020.1760293
L. Calixto 1
Affiliation  

Abstract We study the structure of bounded simple weight -, -, -modules, which have been recently classified by D. Grantcharov and I. Penkov. Given a splitting parabolic subalgebra of we introduce the concepts of -aligned and pseudo -aligned -,-, -modules, and give necessary and sufficient conditions for bounded simple weight modules to be -aligned or pseudo -aligned. The existence of pseudo -aligned modules is a consequence of the fact that the Lie algebras considered have infinite rank.

中文翻译:

关于sl(∞),o(∞),sp(∞)的简单有界权模的结构

摘要 我们研究了最近由 D. Grantcharov 和 I. Penkov 分类的有界简单权重 -, -, - 模块的结构。给定一个分裂抛物线子代数,我们引入-对齐和伪-对齐-、-、-模块的概念,并给出有界简单权重模块-对齐或伪对齐的充要条件。伪对齐模块的存在是所考虑的李代数具有无限秩这一事实的结果。
更新日期:2020-06-16
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