“…which are easily verified to satisfy the Poisson-Jacobi relations. A general description of the monomials for generic n can be found in [26]. For n = 3, the dimension of the centralizer C S(sl(3)) (h) is seven, and an explicit basis can be chosen naturally as B = {h 1 , h 2 , p 1,2 , p 1,3 , p 2,3 , p 1,2,3 , p 1,3,2 }.…”