3-莱布尼兹代数及其Rota-Baxter算子的构造

Construction of 3-Leibniz algebras and their Rota-Baxter operators

莱布尼兹代数作为李代数的推广,已经发展到很高的水平和阶段。由莱布尼兹代数构造3-莱布尼兹代数,以及由3-莱布尼兹代数构造Rota-Baxter算子,是一个非常有意义和重要的课题。

Leibniz algebras have developed to a very high level and stage as a generalization of Lie algebras. Constructing 3-Leibniz algebras from Leibniz algebras and Rota-Baxter operators on 3-Leibniz algebras have become a very important and meaningful subject.