Skew-symmetric biderivations and linear commuting maps on the commuting maps on the conformal Galilei-era

被引：4

作者：

Abdaoui, Meher ^{[1
]}

机构：

[1] Fac Sci Sfax, Dept Math, Sfax, Tunisia

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 04期

关键词：

Conformal Galilei algebra; biderivation; linear commuting map; skew-symmetric; LIE ALGEBRA STRUCTURES; GENERALIZED BIDERIVATIONS; MODULES;

D O I：

10.1080/00927872.2022.2140348

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that every skew-symmetric biderivation of the conformal Galilei algebra is inner. Based on the result of biderivations, we show that all the linear commuting maps on the conformal Galilei algebra which have the form psi(x) = lambda x + omega(x)z are not standard.

引用

页码：1663 / 1672

页数：10

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