Abstract

Let Sn=K[[x1,…,xn]] be the algebra of power series over a field K of characteristic zero, Snc be the group of continuous automorphisms of Sn with constant Jacobian, and Divnc be the Lie algebra of derivations of Sn with constant divergence. We prove that AutLie(Divnc)=AutLie,c(Divnc)≃Snc.

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