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

共 50 条

[21] 2-Local automorphisms and derivations of triangular matrices
Huang, Wenbo
Li, Shan
ADVANCES IN OPERATOR THEORY, 2025, 10 (02)
[22] On 2-local derivations of von Neumann algebras
Liu, Lei
LINEAR & MULTILINEAR ALGEBRA, 2024,
[23] 2-Local Derivations on Some C*-Algebras
Fard, Meysam Habibzadeh
Sahleh, Abbas
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019, 45 (03) : 649 - 656
[24] 2-Local derivations on von Neumann algebras
Shavkat Ayupov
Karimbergen Kudaybergenov
Positivity, 2015, 19 : 445 - 455
[25] Derivations, Local and 2-Local Derivations on Some Algebras of Operators on Hilbert C*-Modules
Jun He
Jiankui Li
Danjun Zhao
Mediterranean Journal of Mathematics, 2017, 14
[26] Derivations, Local and 2-Local Derivations on Some Algebras of Operators on Hilbert C*-Modules
He, Jun
Li, Jiankui
Zhao, Danjun
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (06)
[27] Local and 2-Local Derivations and Automorphisms on Simple Leibniz Algebras
Shavkat Ayupov
Karimbergen Kudaybergenov
Bakhrom Omirov
Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 : 2199 - 2234
[28] Local and 2-Local Derivations and Automorphisms on Simple Leibniz Algebras
Ayupov, Shavkat
Kudaybergenov, Karimbergen
Omirov, Bakhrom
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (03) : 2199 - 2234
[29] 2-local Lie derivations of nest subalgebras of factors
Liu, Lei
LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (03): : 448 - 455
[30] 2-local derivations on AW*-algebras of type I
Ayupov S.
Arzikulov F.
Lobachevskii Journal of Mathematics, 2017, 38 (1) : 148 - 161

← 1 2 3 4 5 →