论文标题
HOM 3-lie-rinehart代数
Hom 3-Lie-Rinehart Algebras
论文作者
论文摘要
在HOM 3-Lie代数上赋予3-Lie-Rinehart结构后，我们获得了一类特殊 HOM 3-lie代数，它们与交换代数的表示有密切的关系。我们提供一类特殊的HOM 3-Lie-Rinehart代数，称为拆分常规HOM 3-Lie-Rinehart代数，然后我们通过与分裂的Cartan subergebra相关的根系和权重系统来表征它们的结构。
After endowing with a 3-Lie-Rinehart structure on Hom 3-Lie algebras, we obtain a class of special Hom 3-Lie algebras, which have close relationships with representations of commutative associative algebras. We provide a special class of Hom 3-Lie-Rinehart algebras, called split regular Hom 3-Lie-Rinehart algebras, and we then characterize their structures by means of root systems and weight systems associated to a splitting Cartan subalgebra.
