Poisson $n$-Lie algebras: constructions and the structure of solvable algebras

Xinru Cao, Zafar Normatov, Bakhrom Omirov

In this paper, we develop a construction of Poisson $n$-Lie algebras that generalizes the Jacobian $n$-Lie construction. Using the Grassmann--Plücker relations, we derive necessary…