{"title":"Local and 2-Local Derivations of Locally Simple Lie Algebras","authors":"Sh. A. Ayupov, K. Kudaybergenov, B. Yusupov","doi":"10.22363/2413-3639-2022-68-1-95-109","DOIUrl":null,"url":null,"abstract":"In the present paper we study local and 2-local derivations of locally finite split simple Lie algebras. Namely, we show that every local and 2-local derivation on such Lie algebra is a derivation.","PeriodicalId":233322,"journal":{"name":"arXiv: Rings and Algebras","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Rings and Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22363/2413-3639-2022-68-1-95-109","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
In the present paper we study local and 2-local derivations of locally finite split simple Lie algebras. Namely, we show that every local and 2-local derivation on such Lie algebra is a derivation.