The group of automorphisms of the Lie algebra of derivations of a polynomial algebra

摘要

We prove that the group of automorphisms of the Lie algebra $\Der_K (P_n)$ ofderivations of a polynomial algebra $P_n=K[x_1,..., x_n]$ over a field ofcharacteristic zero is canonically isomorphic to the the group of automorphismsof the polynomial algebra $P_n$.