高阶双曲型Kac-Moody代数的极小虚根  

Minimal imaginary roots of hyperbolic Kac-Moody algebra of higher order

作　　者：胡建华[1] 刘静 许成苏[1] HU Jianhua;LIU Jing;XU Chengsu(Colloge of Science,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2020年第2期103-107,共5页Journal of University of Shanghai For Science and Technology

基　　金：上海理工大学教师教学发展研究基金资助项目(CFTD194055)。

摘　　要：根据双曲型Kac-Moody代数的极小虚根的基本性质,结合双曲型Kac-Moody代数对应的广义Cartan矩阵的Dynkin图的特征,给出了n (5≤n≤10)阶双曲型Kac-Moody代数的全部极小虚根。The basic properties of the minimal imaginary roots of the hyperbolic Kac-Moody algebra were studied. According to the character of the Dynkin diagram of the generalized Cartan matrix corresponding to the hyperbolic Kac-Moody algebra, all the minimal imaginary roots of the n-order hyperbolic type Kac-Moody algebra were listed, where 5 ≤ n ≤ 10.

关 键 词：CARTAN矩阵 双曲型 KAC-MOODY代数 极小虚根 DYNKIN图 

分 类 号：O152[理学—数学]