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arXiv · 1012.3626

Multiplicity-Free Representations of Divergence-Free Lie Algebras

Ling Chen
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Abstract

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.

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BibTeXRIS

Ling Chen. 2010-12-16. Multiplicity-Free Representations of Divergence-Free Lie Algebras. https://arxiv.org/abs/1012.3626

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