Multiplicity-Free Representations of Divergence-Free Lie Algebras

Mathematics – Quantum Algebra

Scientific paper

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52 pages, 1 figure

Scientific paper

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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