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

Abstract

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

9 pages

Cited by in corpus (1)

• The groups of automorphisms of the Witt $W_n$ and Virasoro Lie algebras