We study polynomial representations of finite dimensional (R or C) Lie algebras. As a total classification, we show that there are altogether three types of such nontrivial representations and give their subtle stru...We study polynomial representations of finite dimensional (R or C) Lie algebras. As a total classification, we show that there are altogether three types of such nontrivial representations and give their subtle structures.展开更多
基金Supported by Scientific Creative Platform Foundation of Beijing Municipal Commission of Education(No.PXM2008_014224_067420)Foundation of Beijing Information Science and Technology University
文摘We study polynomial representations of finite dimensional (R or C) Lie algebras. As a total classification, we show that there are altogether three types of such nontrivial representations and give their subtle structures.