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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Format: | Article |
Language: | English |
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Hindawi Limited
2024-01-01
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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. |
first_indexed | 2024-04-24T13:53:36Z |
format | Article |
id | doaj.art-688fa9005d2d4bceae11cb4dee1b98b4 |
institution | Directory Open Access Journal |
issn | 2314-4785 |
language | English |
last_indexed | 2024-04-24T13:53:36Z |
publishDate | 2024-01-01 |
publisher | Hindawi Limited |
record_format | Article |
series | Journal of Mathematics |
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 |