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arXiv 1012.3626math.QAmath.RT
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无发散李代数的无重数表示

Multiplicity-Free Representations of Divergence-Free Lie Algebras

Ling Chen

摘要:

无发散李代数(也称为特殊Cartan型李代数)是保体积变换群的李代数。它们在一般情况下是简单的。Dokovic和Zhao发现了它们的某种分级概括。本文对单广义无发散李代数的所有不可约和不可分解的无重数模进行了分类。

英文摘要:

Divergence-free Lie algebras (also known as the special Lie algebras of Cartan type) are Lie algebras of volume-preserving transformation groups. They are simple in generic case. Dokovic and Zhao found a certain graded generalization of them. In this paper, we classify all the irreducible and indecomposable multiplicity-free modules of the simple generalized divergence-free Lie algebras.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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