Local derivations on the Witt algebra in prime characteristic

被引：7

作者：

Yao, Yu-Feng ^{[1
]}

机构：

[1] Shanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 15期

基金：

中国国家自然科学基金;

关键词：

The Witt algebra; maximal subalgebra; derivation; inner derivation; local derivation;

D O I：

10.1080/03081087.2020.1819189

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let g be the Witt algebra over an infinite field of prime characteristic p. In this paper, we discuss the properties of local derivations on g, and prove that every local derivation on g is a derivation. Moreover, it is shown that there exist some local derivations which are not derivations for the maximal subalgebra g(0) of g.

引用

页码：2919 / 2933

页数：15

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