Biderivations and linear commuting maps on simple generalized Witt algebras over a field
Biderivations and linear commuting maps on simple generalized Witt algebras over a field
复制标题
DOI：
10.13001/1081-3810.3100
复制
发表时间：
2016-02
影响因子：
0.7
通讯作者：
Zhengxin Chen
中科院分区：
文献类型：
--
作者：
Zhengxin Chen
设W是特征为零的域上的简单广义Witt代数。本文证明了W的每一个反对称双导子都是内导子。作为双导子的一个应用，证明了W上的线性映射是可交换的当且仅当W上的线性映射是标量乘映射。确定了W的交换自同构和导子。
Let W be a simple generalized Witt algebras over a field of characteristic zero. In this paper, it is proved that each anti-symmetric biderivation of W is inner. As an application of biderivations, it is shown that a linear map ψ on W is commuting if and only if ψ is a scalar multiplication map on W. The commuting automorphisms and derivations of W are determined.