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arxiv: 1707.09083 · v2 · pith:V7T7ULW7new · submitted 2017-07-28 · 🧮 math.RT

Non-weight representations of Cartan type S Lie algebras

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

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