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.

引用

页数：14

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