限制Hom-李超代数的环面和Cartan-分解  

Torus and Cartan-Demcomposition of Restricted Hom-Lie Superalgebras

作　　者：关宝玲[1] 王伟华[1] GUAN Baoling;WANG Weihua(College of Sciences,Qiqihar University,Qiqihar 161006,Heilongjiang Province,China)

机构地区：[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006

出　　处：《吉林大学学报（理学版）》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)

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.

关 键 词：限制Hom-李超代数 Hom-李Cartan-子超代数 极大环面 

分 类 号：O152.5[理学—数学]