Biderivations of the extended Schrodinger-Virasoro Lie algebra

被引：1

作者：

Huang, Zhongxian ^{[1
]}

机构：

[1] Wuyi Univ, Dept Math & Comp, Wuyishan 354300, Peoples R China

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 12期

关键词：

extended Schrodinger-Virasoro Lie algebra; biderivation; skew-symmetric; inner biderivation; linear commuting map;

D O I：

10.3934/math.20231476

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let sv be the extended Schrodinger-Virasoro Lie algebra. In this paper, we consider the skew-symmetric biderivations of the extended Schrodinger-Virasoro Lie algebra. We prove that all biderivations of sv are inner. Based on this result, we show that all linear commuting maps on sv, which have the form psi(x) = lambda x, are standard.

引用

页码：28808 / 28817

页数：10

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