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arXiv · 2007.02582

Weight modules for map (super)algebra related to the Virasoro algebra

Yan-an Cai·Rencai Lü·Yan Wang
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Abstract

We classify Jet modules for the Lie (super)algebras $\mathfrak{L}=W\ltimes(\mathfrak{g}\otimes\mathbb{C}[t,t^{-1}])$, where $W$ is the Witt algebra and $\mathfrak{g}$ is a Lie superalgebra with an even diagonlizable derivation. Then we give a concept method to classify all simple cuspidal modules for $\mathfrak{L}$ and the map superalgebras, which are of the form $\mathfrak{L}\otimes R$, where $R$ is a Noetherian unital supercommutative associative superalgebra.

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Yan-an Cai, Rencai Lü, Yan Wang. 2020-07-06. Weight modules for map (super)algebra related to the Virasoro algebra. https://arxiv.org/abs/2007.02582

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