On maximality of some solvable and locally nilpotent subalgebras of the Lie algebra $W_n(K)$

D. Efimov, M. Sydorov, K. Sysak

Let $K$ be an algebraically closed field of characteristic zero, $P_n=K[x_1,...,x_n]$ the polynomial ring, and $W_n(K)$ the Lie algebra of all $K$-derivations on $P_n$. One of th…