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math.RA2025
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…
math.RA2024
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…