5 papers
Extending structures for pre-Poisson algebras and pre-Poisson bialgebras
Qianwen Zhu, Guilai Liu, Qinxiu Sun
In this paper, we explore the extending structures problem by the unified product for pre-Poisson algebras. In particular, the crossed product and the factorization problem are inv…
Non-abelian extensions of Lie triple systems and Wells exact sequences
Qinxiu Sun, Shuangjian Guo
In this paper, we investigate non-abelian extensions and inducibility of pairs of automorphisms of Lie triple systems. First, we introduce non-abelian cohomology groups and classif…
Non-abelian extensions of relative Rota-Baxter Lie algebras and Wells type exact sequences
Qinxiu Sun, Qianwen Zhu
In this paper, we explore non-abelian extensions of relative Rota-Baxter Lie algebras and classify the non-abelian extensions by introducing the non-abelian second cohomology group…
Non-abelian extensions and Wells exact sequences of Lie-Yamaguti algebras
Qinxiu Sun, Zhen Li
The goal of the present paper is to investigate non-abelian extensions of Lie-Yamaguti algebras and explore extensibility of a pair of automorphisms about a non-abelian extension o…
Cohomologies, non-abelian extensions and Wells sequences of lambda-weighted Rota-Baxter Lie coalgebras
Qinxiu Sun, Zhen Li
In this paper, we investigate cohomologies and non-abelian extensions of lambda-weighted Rota-Baxter Lie coalgebras. First, we consider Lie comodules and cohomologies of lambda-wei…