摘要
把限制Hom-李代数的性质推广到限制Hom-李超代数,给出限制Hom-李超代数的半单元与环面元的定义和性质及其Hom-李Cartan-子超代数的定义和性质.确定限制Hom-李超代数的Hom-李Cartan-子超代数可用其极大环面刻画的充要条件,并给出限制Hom-李超代数极大环面的性质.
Some properties of restricted Hom-Lie algebras were extended to restricted Hom-Lie superalgebras.We gave definitions and some properties of semi\|simple elements and toral elements of restricted Hom-Lie superalgebras,and definitions and some properties of Hom-Lie Cartan-subsuperalgebras.The necessary and sufficient condition for characterization of Hom-Lie Cartan-subsuperalgebras restricted by Hom-Lie superalgebras could be described by its maximal torus,and some properties of its maximal torus of the restricted Hom-Lie superalgebras were given.
作者
关宝玲
王伟华
GUAN Baoling;WANG Weihua(College of Sciences,Qiqihar University,Qiqihar 161006,Heilongjiang Province,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2019年第2期248-252,共5页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11171055)
黑龙江省教育厅基本科研业务费专项基金(批准号:135209255)
黑龙江省博士后科研启动基金(批准号:LBH-Q17175)
