English

Non-weight representations of Cartan type S Lie algebras

Representation Theory 2018-02-15 v2

Abstract

For the two Cartan type S subalgebras of the Witt algebra \Wn\W_n, called Lie algebras of divergence-zero vector fields, we determine all module structures on the universal enveloping algebra of their Cartan subalgebra \hn\h_n. We also give all submodules of these modules.

Keywords

Cite

@article{arxiv.1707.09083,
  title  = {Non-weight representations of Cartan type S Lie algebras},
  author = {Juanjuan Zhang},
  journal= {arXiv preprint arXiv:1707.09083},
  year   = {2018}
}

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22 pages