IRREDUCIBLE REPRESENTATIONS OF FINITE LIE CONFORMAL ALGEBRAS OF PLANAR GALILEAN TYPE

被引：0
|
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：
REPORTS ON MATHEMATICAL PHYSICS | 2020年 / 85卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Galilean conformal algebra; Lie conformal algebra; conformal module; COHOMOLOGY; MODULES;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It is well known that Galilean conformal algebras play important roles in the nonrelativistic anti-de Sitter/conformal field theory correspondence. The finite Lie conformal algebras PG(a, b) of planar Galilean type can be viewed as Lie conformal analogues of certain planar Galilean conformal algebras. In this paper, we classify finite irreducible conformal modules over PG(a, b) for all complex numbers a and b.
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页码：387 / 397
页数：11
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