Left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra

被引：16
|
作者：
Chen HongJia [1 ]
Li JunBo [2 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
[2] Changshu Inst Technol, Sch Math & Stat, Changshu 215500, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2014年 / 57卷 / 03期
基金：
中国国家自然科学基金;
关键词：
twisted Heisenberg-Virasoro algebra; left-symmetric algebra; Virasoro algebra; CLASSIFICATION; SPACES;
D O I：
10.1007/s11425-013-4648-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The compatible left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra with some natural grading conditions are completely determined. The results of the earlier work on left-symmetric algebra structures on the Virasoro algebra play an essential role in determining these compatible structures. As a corollary, any such left-symmetric algebra contains an infinite-dimensional nontrivial subalgebra that is also a submodule of the regular module.
引用
收藏
页码：469 / 476
页数：8
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