Non-weight modules over N = 1 Lie superalgebras of Block type
Non-weight modules over N = 1 Lie superalgebras of Block type
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DOI：
10.1515/forum-2022-0267
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发表时间：
2023-06
影响因子：
0.8
通讯作者：
Qiang Xie;Jiancai Sun
中科院分区：
文献类型：
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作者：
Qiang Xie;Jiancai Sun
本文研究了N = 1 {N=1} Block型（无中心）李超代数上的一类无权模。Block型Ramond代数上的这些模在限制于Cartan子代数的泛包络代数时是无秩1的，而Block型Neveu-Schwarz代数上的这些模是无秩2的.我们提出了这些模块的分类。此外，这些模块的简单性是确定的。
Abstract In this paper, a class of non-weight modules over N = 1 {N=1} Lie superalgebras of Block type (without center) is studied. These modules over Ramond algebras of Block type are free of rank 1 when restricted to the universal enveloping algebra of the Cartan subalgebra, while such modules are free of rank 2 over the Neveu–Schwarz algebras of Block type. We present the classification of these modules. Furthermore, the simplicity of these modules is determined.