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

V. V. Bavula

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arXiv · 1304.4225

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

V. V. Bavula

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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 $Q_n$.

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V. V. Bavula. 2013-04-15. The group of automorphisms of the Lie algebra of derivations of a field of rational functions. https://arxiv.org/abs/1304.4225

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