二维可交换左对称代数的相容性与双代数结构

The Compatibility and Bialgebra Structure of Two-dimensional

利用左对称代数的相容性与双代数结构的定义,结合二维左对称代数的分类结果,证明了所有二维可交换的左对称代数的相容性,导出相容左对称代数的双代数结构。

By using the definition of compatibility and bialgebraic structure of left symmetric algebras,and combining with the classification results of two dimensional left symmetric algebras,the compatibility of all two dimensional commutative left symmetric algebras is proved,and the bialgebraic structure of compatible left symmetric algebras is derived.