Local Automorphisms and Local Superderivations of Model Filiform Lie Superalgebras

In this paper, we give the forms of local automorphisms (resp. superderivations) of model filiform Lie superalgebra Ln,m in the matrix version. Linear 2-local automorphisms (resp. superderivations) of Ln,m are also characterized. We prove that each linear 2-local automorphism of Ln,m is an automorph...

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Main Authors: Yuqiu Sheng, Wende Liu, Yang Liu
Format: Article
Language:English
Published: Hindawi Limited 2024-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2024/6650997
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author Yuqiu Sheng
Wende Liu
Yang Liu
author_facet Yuqiu Sheng
Wende Liu
Yang Liu
author_sort Yuqiu Sheng
collection DOAJ
description In this paper, we give the forms of local automorphisms (resp. superderivations) of model filiform Lie superalgebra Ln,m in the matrix version. Linear 2-local automorphisms (resp. superderivations) of Ln,m are also characterized. We prove that each linear 2-local automorphism of Ln,m is an automorphism.
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spelling doaj.art-688fa9005d2d4bceae11cb4dee1b98b42024-04-04T00:00:03ZengHindawi LimitedJournal of Mathematics2314-47852024-01-01202410.1155/2024/6650997Local Automorphisms and Local Superderivations of Model Filiform Lie SuperalgebrasYuqiu Sheng0Wende Liu1Yang Liu2School of Mathematical SciencesSchool of Mathematics and StatisticsDepartment of MathematicsIn this paper, we give the forms of local automorphisms (resp. superderivations) of model filiform Lie superalgebra Ln,m in the matrix version. Linear 2-local automorphisms (resp. superderivations) of Ln,m are also characterized. We prove that each linear 2-local automorphism of Ln,m is an automorphism.http://dx.doi.org/10.1155/2024/6650997
spellingShingle Yuqiu Sheng
Wende Liu
Yang Liu
Local Automorphisms and Local Superderivations of Model Filiform Lie Superalgebras
Journal of Mathematics
title Local Automorphisms and Local Superderivations of Model Filiform Lie Superalgebras
title_full Local Automorphisms and Local Superderivations of Model Filiform Lie Superalgebras
title_fullStr Local Automorphisms and Local Superderivations of Model Filiform Lie Superalgebras
title_full_unstemmed Local Automorphisms and Local Superderivations of Model Filiform Lie Superalgebras
title_short Local Automorphisms and Local Superderivations of Model Filiform Lie Superalgebras
title_sort local automorphisms and local superderivations of model filiform lie superalgebras
url http://dx.doi.org/10.1155/2024/6650997
work_keys_str_mv AT yuqiusheng localautomorphismsandlocalsuperderivationsofmodelfiliformliesuperalgebras
AT wendeliu localautomorphismsandlocalsuperderivationsofmodelfiliformliesuperalgebras
AT yangliu localautomorphismsandlocalsuperderivationsofmodelfiliformliesuperalgebras