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D_4型广义扭仿射李代数及其模
引用本文:王宪栋.D_4型广义扭仿射李代数及其模[J].数学年刊A辑(中文版),2002(6).
作者姓名:王宪栋
作者单位:青岛大学数学系 青岛
基金项目:国家自然科学基金资助的项目.
摘    要:本文是3]的继续,将讨论D4型的广义扭仿射李代数及其表示理论;证明作用在其不可约模上的一类算子的局部幂零性.

关 键 词:广义扭仿射李代数  局部幂零性  算子

GENERALIZED TWISTED AFFINE LIE ALGEBRA AND ITS MODULES: CASE D_4
WANG Xiandong.GENERALIZED TWISTED AFFINE LIE ALGEBRA AND ITS MODULES: CASE D_4[J].Chinese Annals of Mathematics,2002(6).
Authors:WANG Xiandong
Institution:WANG XiandongDepartment of Mathematics,Qingdao University,Qingdao 266071,China.
Abstract:This paper is a sequel of 3] in which we discussed generalized twisted affine Lie algebras and their representations. In this paper we discuss the D4 type generalized twisted affine Lie algebra and its representation, and prove the local nilpotency of a kind of operators acting on irreducible modules.
Keywords:Generalized twisted affine Lie algebra  Local nilpotency  Operator
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