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

2013/04/15 by Bavula, V. V. · 1 citation
#17B20 #17B30 #17B40 #17B65 #17B66 #Algebraic Geometry (math.AG) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1304.4225

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(x₁,..., x_n) over a field of characteristic zero is canonically isomorphic to the group of automorphisms of the K-algebra Q_n.

Cited by

• Derivations of Lie Algebras of Vector Fields in Infinitely Many Variables

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