论文标题
在Kantor产品上，II
On the Kantor product, II
论文作者
论文摘要
我们描述了乘法的Kantor Square（和Kantor产品），扩展了[I. I.中提出的分类。 Kaygorodov，《 Kantor产品》，《代数及其应用杂志》，16（2017），9，1750167]。此外，我们明确描述了一些低维代数的Kantor平方，并提供了获得新的转置泊松代数和泊松诺夫托科夫代数的建设性方法；并用于分类给定代数的泊松结构和交换后结构。
We describe the Kantor square (and Kantor product) of multiplications, extending the classification proposed in [I. Kaygorodov, On the Kantor product, Journal of Algebra and Its Applications, 16 (2017), 9, 1750167]. Besides, we explicitly describe the Kantor square of some low dimensional algebras and give constructive methods for obtaining new transposed Poisson algebras and Poisson-Novikov algebras; and for classifying Poisson structures and commutative post-Lie structures on a given algebra.
