On a family of non-weight modules over Witt-type Lie algebras and superalgebras

被引：7
|
作者：
Williamson, Sarah [1 ]
机构：
[1] Weizmann Inst Sci, Rehovot, Israel
来源：
JOURNAL OF ALGEBRA | 2021年 / 569卷
关键词：
Witt algebra; Weighting functor; Intermediate series; HARISH-CHANDRA MODULES; VIRASORO; CLASSIFICATION;
D O I：
10.1016/j.jalgebra.2020.10.035
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We classify modules over a Witt-type Lie algebra and superalgebra such that when considered as modules of u(h) they are free of rank 1. We provide sufficient conditions for simplicity, and compute the action of an automorphism on the module. Lastly, we apply the weighting functor and show that the resulting modules are intermediate series modules. (C) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页码：180 / 194
页数：15
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