李三系的扩张  

The Extensions of Lie Triple Systems

作　　者：赵冠华[1] 吴辰余[1] 

机构地区：[1]邯郸学院数学系,河北邯郸056005

出　　处：《河北师范大学学报（自然科学版）》2011年第6期555-557,共3页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(10731070)

摘　　要：讨论了李三系的扩张问题,得到了李三系存在非本质扩张的充要条件,研究了李三系的中心扩张,并给出了李三系的扩张与可解、幂零有关的某些性质.Extensions of Lie triple systems are introduced.Some conditions of existence for the inessential extension of Lie triple systems are obtained.Properties of central extensions of Lie triple systems are studied and some relations among extensions,nilpotency and solvability of Lie triple systems are given.

关 键 词：李三系 扩张 可解 幂零 

分 类 号：O152.5[理学—数学]