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Some Representations of Nongraded Divergence-Free Lie Algebras

Representation Theory 2012-01-17 v1 Quantum Algebra

Abstract

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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Cite

@article{arxiv.1201.3112,
  title  = {Some Representations of Nongraded Divergence-Free Lie Algebras},
  author = {Ling Chen},
  journal= {arXiv preprint arXiv:1201.3112},
  year   = {2012}
}

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39 pages