Representations of Lie conformal algebras related to Galilean conformal algebras

被引：1
|
作者：
Han, Xiu [1 ,2 ]
Wang, Dengyin [1 ]
Xia, Chunguang [1 ]
机构：
[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
[2] Xuzhou Univ Technol, Sch Math & Phys, Xuzhou, Jiangsu, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 06期
关键词：
Conformal module; extension problem; Galilean conformal algebra; Lie conformal algebra; COHOMOLOGY;
D O I：
10.1080/00927872.2021.2007393
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the representation theory of Lie conformal analogues r(a, b) of certain Galilean conformal algebras, where a, b are complex numbers. We first classify their finite irreducible conformal modules, and then solve the extension problem. In particular, we obtain several classes of new indecomposable conformal modules over r(a, b).
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页码：2427 / 2438
页数：12
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