仿射李代数及其限制模(英文)  

AN AFFINE LIE ALGEBRA AND ITS RESTRICTED MODULES

作　　者：王颖[1] 李海玲[2] 

机构地区：[1]大连理工大学数学科学学院数学研究所,辽宁大连116024 [2]山东理工大学理学院数学系,山东淄博255049

出　　处：《数学杂志》2012年第4期598-606,共9页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(10771027)

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.

关 键 词：仿射李代数 根 拆分 限制模 

分 类 号：O152.5[理学—数学]