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On Polynomial Representations of Lie Algebras 被引量:2

On Polynomial Representations of Lie Algebras
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摘要 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. 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.
出处 《Northeastern Mathematical Journal》 CSCD 2006年第3期335-348,共14页 东北数学(英文版)
关键词 Lie algebra POLYNOMIAL MORPHISM Levi decomposition Lie algebra, polynomial, morphism, Levi decomposition
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