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arXiv · 1707.09083

Non-weight representations of Cartan type S Lie algebras

Juanjuan Zhang
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Abstract

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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Juanjuan Zhang. 2017-07-28. Non-weight representations of Cartan type S Lie algebras. https://arxiv.org/abs/1707.09083

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