Group gradings on the filiform Lie superalgebras Lm,n

被引：0
|
作者：
Xie, Wenjuan [1 ]
Liu, Wende [2 ]
机构：
[1] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Peoples R China
[2] Hainan Normal Univ, Sch Math & Stat, Haikou 571158, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年
关键词：
Filiform Lie superalgebra; grading; maximal torus; FINE GRADINGS;
D O I：
10.1142/S021949882550327X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we classify the gradings up to equivalence on the filiform Lie superalgebras Lm,n over an algebraically closed field of characteristic 0. Moreover, by the relation between a grading and a standard grading, we describe all pairwise inequivalent gradings and their universal groups of Lm,n.
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页数：11
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