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 221008, Jiangsu, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2021年 / 20卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Lie conformal algebra; conformal derivation; conformal module; COHOMOLOGY;
D O I：
10.1142/S0219498821500754
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let R(a, b) be a Lie conformal algebra related to Galilean conformal algebras, where a, b are complex numbers. All the conformal derivations of R(a, b) are shown to be inner. The rank one conformal modules and Z-graded free intermediate series modules over R(a, b) are completely classified. The corresponding results of the finite conformal subalgebra of R(a, b) are also obtained as byproducts.
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页数：14
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