21 citations · 177 across the 58 of their papers we have counts for
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Biderivations, commuting mappings and (2-)local derivations of -graded Lie algebras of maximal class
Yong Yang, Liming Tang, Liangyun Chen
In Fialowski's classification for algebras of maximal class, there are three Lie algebras of maximal class with 1-dimensional homogeneous components: , and $\…
Cohomologies and crossed modules for pre-Lie Rinehart algebras
Liangyun Chen, Meijun Liu, Jiefeng Liu
A pre-Lie-Rinehart algebra is an algebraic generalization of the notion of a left-symmetric algebroid. We construct pre-Lie-Rinehart algebras from r-matrices through Lie algebra ac…
Cohomology of Leibniz Triple Systems and its applications
Xueru Wu, Liangyun Chen, Yao Ma
In this paper, we introduce the first and third cohomology groups on Leibniz triple systems, which can be applied to extension theory and -parameter formal deformation theory. S…
Conformal $(\si,\t)$-Derivations on Lie conformal superalgebras
Tianqi Feng, Jun Zhao, Liangyun Chen
In this paper, we focus on the $(\si,\t)$-derivation theory of Lie conformal superalgebras. Firstly, we study the fundamental properties of conformal $(\si,\t)$-derivations. Second…
Rota-Baxter operators on Turaev's Hopf group (co)algebras I: Basic definitions and related algebraic structures
Tianshui Ma, Jie Li, Liangyun Chen +1
We find a natural compatible condition between the Rota-Baxter operator and Turaev's (Hopf) group-(co)algebras, which leads to the concept of Rota-Baxter Turaev's (Hopf) group-(co)…