2-Local Derivations on the Centerless Ovsienko-Roger Algebra

被引：0

作者：

Liu, Yan ^{[1
]}

Ma, Yao ^{[1
]}

Chen, Liangyun ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun, Peoples R China

来源：

JOURNAL OF LIE THEORY | 2024年 / 34卷 / 03期

关键词：

Centerless Ovsienko-Roger algebra; derivation; 2-local derivation; VIRASORO ALGEBRA; TENSOR-DENSITIES; BIDERIVATIONS; EXTENSIONS; MODULES; W(A;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study 2-local derivations on the centerless Ovsienko-Roger algebra L lambda, which is the semi-direct product of the Witt algebra and its tensor density module. We prove that every 2-local derivation on L lambda is a derivation for lambda is an element of C\ {0, 1, 2}. We divide into two cases to consider 2-local derivations on L lambda depending on whether the parameter lambda is an integer, that is for the case lambda is an element of Z \ {0, 1, 2} and the case lambda /is an element of Z.

引用

页码：595 / 610

页数：16

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