{"title":"Capability of nilpotent Lie superalgebras of small dimension","authors":"Rudra Narayan Padhan, Ibrahem Yakzan Hasan, Saudamini Nayak","doi":"10.1080/00927872.2024.2337277","DOIUrl":null,"url":null,"abstract":"In this paper, we define a partially capable Lie superalgebra. As an application, we classify all capable nilpotent Lie superalgebras of dimension less than or equal to five.","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"30 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Algebra","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00927872.2024.2337277","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
In this paper, we define a partially capable Lie superalgebra. As an application, we classify all capable nilpotent Lie superalgebras of dimension less than or equal to five.
期刊介绍：
Communications in Algebra presents high quality papers of original research in the field of algebra. Articles from related research areas that have a significant bearing on algebra might also be published.
Topics Covered Include:
-Commutative Algebra
-Ring Theory
-Module Theory
-Non-associative Algebra including Lie algebras, Jordan algebras
-Group Theory
-Algebraic geometry
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