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

页码：2089 / 2098

页数：10

共 34 条

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