Some Representations of Nongraded Divergence-Free Lie Algebras

Mathematics – Representation Theory

Scientific paper

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39 pages

Scientific paper

Divergence-free Lie algebras are originated from the Lie algebras of
volume-preserving transformation groups. Xu constructed a certain nongraded
generalization, which may not contain any toral Cartan subalgebra. In this
paper, we give a complete classification of the generalized weight modules over
these algebras with weight multiplicities less than or equal to one.

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