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arxiv: 1304.4225 · v1 · pith:XZTI5PSLnew · submitted 2013-04-15 · 🧮 math.RA · math.AG

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

classification 🧮 math.RA math.AG
keywords algebraautomorphismsfieldgroupderivationsfunctionsrationalcanonically
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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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