The group of automorphisms of the Lie algebra of derivations of a field of rational functions

Abstract

We prove that the group of automorphisms of the Lie algebra $\Der_K (Q_n)$ of derivations of the field of rational functions $Q_n=K(x_1,...,x_n)$ over a field of characteristic zero is canonically isomorphic to the group of automorphisms of the $K$-algebra $Q_n$.

10 pages. arXiv admin note: substantial text overlap with arXiv:1304.3836

References in corpus (1)

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