Develops constructions for Poisson n-Lie algebras from Jacobians and tensor products, establishes correspondence with Poisson algebras, and characterizes solvable/nilpotent structures with hypo-nilpotent ideals.
European Journal of Mathematics,12(2), (2026)
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Poisson $n$-Lie algebras: constructions and the structure of solvable algebras
Develops constructions for Poisson n-Lie algebras from Jacobians and tensor products, establishes correspondence with Poisson algebras, and characterizes solvable/nilpotent structures with hypo-nilpotent ideals.