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arXiv · 2001.04204

Classification of simple bounded weight modules of the Lie algebra of vector fields on $\C^n$

Yaohui Xue·Rencai Lü
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Abstract

Let $W_n^+$ be the Lie algebra of the Lie algebra of vector fields on $\C^n$. In this paper, we classify all simple bounded weight $W_n^+$ modules. Any such module is isomorphic to the simple quotient of a tensor module $F(P,M)=P\otimes M$ for a simple weight module $P$ over the Weyl algebra $K_n^+$ and a finite dimensional simple $\gl_n$ module $M$.

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BibTeXRIS

Yaohui Xue, Rencai Lü. 2020-01-13. Classification of simple bounded weight modules of the Lie algebra of vector fields on $\C^n$. https://arxiv.org/abs/2001.04204

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