摘要
本文主要研究了素特征域上与Kac-Moody李代数L=sl(l+1,K)相应的仿射李代数L.通过L的根空间分解及拆分,证明了L是限制李代数及其中心元素平凡作用在L的某个限制模上.
In this paper,we study an affine Lie algebra L,corresponding to the finite dimensional Kac-Moody Lie algebra L=sl（l＋1,K） where K be a field of characteristic p2.By using root space decomposition of L with respect to a torus and distinct partition,we prove that L is a restricted Lie algebra and prove that the central elements of L act trivially on any restricted L-module whose Z-graded weight spaces are of bounded dimension.
出处
《数学杂志》
CSCD
北大核心
2012年第4期598-606,共9页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China(10771027)
关键词
仿射李代数
根
拆分
限制模
affine Lie algebra
root
partition
restricted module
