Biderivations and linear commuting maps on the restricted contact lie algebras K(n; 1)

被引：3
|
作者：
Chang, Yuan [1 ]
Chen, Liangyun [2 ]
Zhou, Xin [3 ]
机构：
[1] Dongbei Univ Finance & Econ, Sch Math, Dalian 116025, Peoples R China
[2] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[3] Ili Normal Univ, Sch Math & Stat, Yining 835000, Peoples R China
来源：
QUAESTIONES MATHEMATICAE | 2021年 / 44卷 / 11期
关键词：
Restricted Cartan-type Lie algebras; biderivations; linear commuting maps; SUPER-BIDERIVATIONS; MODULES;
D O I：
10.2989/16073606.2020.1810816
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
LetKbe the restricted contact Lie algebras K(n, 1) over an algebraically closed field F of characteristic p >3. We prove that each skew-symmetric biderivation of K is inner and show that commuting maps on K are scalar multiplication maps. Moreover, it is showed that the commuting automorphisms and dertivations of K are proved to be the identity mappings and zero mappings, respectively. Meanwhile, the commutative post-Lie algebra structures on K are given.
引用
收藏
页码：1529 / 1540
页数：12
相关论文
共 50 条
12345