Partial classification of cuspidal simple modules for Virasoro-like algebra

JOURNAL OF ALGEBRA

卷:464

Article

Jiang, Jian-Jian¹  Lin, Wei-Qiang² 

[1] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

[2] Minnan Normal Univ, Dept Math & Stat, Zhangzhou 363000, Fujian, Peoples R China

关键词: Lie algebra;    Poisson bracket;    Representation;    Cuspidal module;   

DOI  :  10.1016/j.jalgebra.2016.06.022

来源: Elsevier

【 摘 要 】

Let 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 U 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 (U, P)-module has to come from Larsson-Shen's construction. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free