摘要
本文引入了根格Q的另一种表示方法和强正根格Q的概念,构造了无穷点列马Iβ(β∈Q)和正整数对集K,由此给出了判定不定型Kac-Moody代数IBn(α)(α≥5)的根格Q中的一个元素是正虚根的充分条件并确切描述了.
The paper gives an equivalent representation of root lattice Q and the concept of strict positive root lattice Q++ in IBn (a),then constructs the infinite sequence lP and set K of pairs of inogers.Also the paper presents the necessary condition to determine that an element is imaginary root in root lattice Q of indifinte Kac-Moody algebras of IBn(a)(a≥5)and an explicit descrpition of .
出处
《首都师范大学学报(自然科学版)》
1995年第3期10-16,共7页
Journal of Capital Normal University:Natural Science Edition
关键词
李代数
KAC-MOODY
虚根系
不定型
simple Lie algebras of B.type,Kac-Moody algebras of IB_(n(a))type,strict positive root lattice,positive imaginary root system,degree.