Integrable bounded weight modules of classical Lie superalgebras at infinity

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:226

Article

Calixto, Lucas¹  Penkov, Ivan² 

[1] Univ Fed Minas Gerais, Dept Math, Belo Horizonte, MG, Brazil

[2] Jacobs Univ Bremen, Campus Ring 1, D-28759 Bremen, Germany

关键词: Weight modules;    Direct limit Lie superalgebras;    Bounded modules;   

DOI  :  10.1016/j.jpaa.2021.106847

来源: Elsevier

【 摘 要 】

We classify integrable bounded simple weight modules over classical Lie superal-gebras at infinity. We also study the categories of such modules, and we prove that for most of the classical Lie superalgebras at infinity the respective category is semisimple. (c) 2021 Elsevier B.V. All rights reserved.

【 授权许可】

Free