2 papers
math.RA2026
On -pre-Lie algebras
Chengyang Lu, Yanyong Hong
In this paper, we introduce the notion of -pre-Lie algebras from the perspective of representations of Lie algebras, providing a parametrized generalization that unifies pre-Lie…
math.RA2026
Jacobi algebras and Jacobi Novikov-Poisson algebras
Chengyang Lu, Yanyong Hong
In this paper, we introduce the notion of Jacobi Novikov-Poisson algebras and demonstrate that their affinization yields Jacobi algebras. We note that every unital differential Nov…