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arXiv · 1508.05743

Partial classification of cuspidal simple modules for Virasoro-like algebra

Jian-Jian Jiang·Wei-Qiang Lin
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Abstract

Let $\mathfrak P$ be the Lie algebra of Hamiltonian vector fields on the torus, which is also known as the Virasoro-like algebra, a special kind of the so-called Block type Lie algebra. And let $\mathfrak A$ be the Laurent polynomial algebra in two variables. In this paper, by following S.E. Rao's strategy of "backward induction", we prove that any quasi-finite simple $(\mathfrak A,\mathfrak P)$-module has to come from Larsson-Shen's construction.

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Jian-Jian Jiang, Wei-Qiang Lin. 2015-08-24. Partial classification of cuspidal simple modules for Virasoro-like algebra. https://doi.org/10.1016/j.jalgebra.2016.06.022

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