摘要
本文描述了不定型Kac—Moody代数的极小虚根的一些性质及判定条件。利用极小虚根刻划虚根系,并证明了严格双曲型李代数有唯一的极小虚根,同时给出其具体表达式。
In this paper we study the properties and criterions of the minimal ima-ginary roots of Kac-Moody algebras of infinite type. We give the descri-ption of imaginary root system in terms of the minimal imaginary roots,and prove that Kac-Moody algebras of strictly hyperbolic type have theunique minimal imaginary root, We also give the explicit expression of theunique minimal imaginary root in the case of strictly hyperbolic type.
关键词
不定型
双曲型
K-M代数
极小虚根
indefinite Kac-Moody algebra
hyperbolic Kac-Moody algebra
imaginary root
minimal imaginary root
