5 papers
Nijenhuis operators on 2D pre-Lie algebras and 3D associative algebras
Xiaoguang Zou, Xiang Gao, Chuangchuang Kang +1
In this paper, we describe all Nijenhuis operators on 2-dimensional complex pre-Lie algebras and 3-dimensional complex associative algebras. As an application, using these operator…
Manin triples, bialgebras and Yang-Baxter equation of -associative algebras
Yaxi Jiang, Chuangchuang Kang, Jiafeng Lü
-associative algebra is a generalization of associative algebra and is one of the four remarkable types of Lie-admissible algebras, along with associative algebra, left-symmet…
Matched pairs and double construction bialgebras of (transposed) Poisson 3-Lie algebras
Kecheng Zhou, Chuangchuang Kang, Jiafeng Lü
Double construction bialgebras for Poisson 3-Lie algebras and transposed Poisson 3-Lie algebras are defined and studied using matched pairs. Poisson 3-Lie algebras and transposed P…
Universal enveloping algebras of weighted differential Poisson algebras
Ying Chen, Chuangchuang Kang, Jiafeng Lü
The -differential operators and modified -differential operators are generalizations of classical differential operators. This paper introduces the notions of -differen…
Yang-Baxter equations and relative Rota-Baxter operators for left-Alia algebras associated to invariant theory
Kang Chuangchuang, Liu Guilai, Shizhuo Yu
Left-Alia algebras are a class of algebras with symmetric Jacobi identities. They contain several typical types of algebras as subclasses, and are closely related to the invariant…