具有有限个子代数的李代数  

Lie algebras with a finite number of subalgebras

作　　者：王健戍 胡志广[1] WANG Jianshu;HU Zhiguang(College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China)

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《天津师范大学学报（自然科学版）》2021年第4期31-33,共3页Journal of Tianjin Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11771331).

摘　　要：研究复数域上具有有限多个维数大于1的子代数的李代数的结构,利用3维复可解李代数的分类,证明了此类李代数的维数小于3.The structure of Lie algebras in the complex domain with a finite number of subalgebras whose dimensions are greater than one is studied.By using the classification of the three dimensional complex solvable Lie algebras,it is proved that such Lie algebras have dimensions less than three.

关 键 词：李代数 子代数 LEVI定理 3维可解李代数 

分 类 号：O152.5[理学—数学]