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

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.