Super-biderivations from osp(1,2) to all simple modules in prime characteristic

被引：0
|
作者：
Li, Zhaoxin [1 ]
Liu, Wende [1 ]
Wang, Shujuan [2 ]
机构：
[1] Hainan Normal Univ, Sch Math & Stat, Haikou, Peoples R China
[2] Heilongjiang Univ, Sch Math Sci, Harbin, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2025年 / 53卷 / 05期
关键词：
Orthosymplectic Lie superalgebras; simple modules; super-biderivations; LINEAR COMMUTING MAPS; 1ST COHOMOLOGY; LIE;
D O I：
10.1080/00927872.2024.2430405
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the orthosymplectic Lie superalgebra osp(1,2) over an algebraically closed field of characteristic p>2 . We give a sufficient and necessary condition for a map from the cartesian product of a finite-dimensional Lie superalgebra with itself to its nontrivial and simple modules to be a symmetric super-biderivation. Finally, we determine all super-biderivations from osp(1,2) to its any finite-dimensional simple module.
引用
收藏
页码：2089 / 2098
页数：10
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