Non-weight representations of Cartan type S Lie algebras |
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| Authors: | Juanjuan Zhang |
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| Institution: | 1. College of Mathematics and Information Science, Hebei Normal (Teachers) University, Shijiazhuang, Hebei, P. R. China;2. School of Mathematics and Statistics, Qingdao University, Qingdao, Shandong, P. R. China |
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| Abstract: | For the two Cartan type S subalgebras of the Witt algebra 𝒲n, called Lie algebras of divergence-zero vector fields, we determine all module structures on the universal enveloping algebra of their Cartan subalgebra 𝔥n. We also give all submodules of these modules. |
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| Keywords: | Lie algebras of Cartan type S Lie algebras of divergence-zero vector fields non-weight modules Virasoro-like algebra |
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