无扭仿射Kac-Moody代数正部分的交换导子Commuting Derivations of the Positive Part of Nontwisted Affine Kac-Moody Algebras
李丽飞;陈正新;
摘要(Abstract):
设g是X_l(1)型仿射Kac-Moody代数,X_l为A_l,D_l或E_l型,l≥3,n_+是g的正部分.n_+上的一个映射φ:n_+→n_+称为交换映射,如果对任意的x∈n_+,有[φ(x),x]=0.证明了n+上的导子是交换映射当且仅当它是零映射.
关键词(KeyWords): 仿射Kac-Moody代数;交换导子;零映射
基金项目(Foundation): 国家自然科学基金资助项目(11101084);; 福建省自然科学基金资助项目(2013J01005)
作者(Authors): 李丽飞;陈正新;
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