Left-Symmetric Algebra Structures on the Planar Galilean Conformal Algebra

作     者：Lili Chi Jiancai Sun 

作者机构：Department of Mathematics Shanghai University Shanghai 200444 China 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2019年第26卷第2期

页      面：285-308页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：support of NNSFC 

主　　题：planar Galilean conformal algebra twisted Heisenberg-Virasoro algebra leftsymme trie algebra 

摘      要：In this paper, we mainly determine the compatible left-symmetric algebra structures on the planar Galilean conformal algebra with some natural grading conditions. The results of earlier work on left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra play an important role in determining these compatible structures. As a corollary, any such left-symmetric algebra contains an infinite-dimensional non-trivial subalgebra that is also a submodule of the regular module.