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arxiv: 1304.3836 · v1 · pith:IY7PKIS7new · submitted 2013-04-13 · 🧮 math.RA · math.AG

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

classification 🧮 math.RA math.AG
keywords algebraautomorphismsgrouppolynomialderivationscanonicallycharacteristicfield
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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 $P_n$.

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