The groups of automorphisms of the Lie algebras of polynomial vector fields with zero or constant divergence
نویسنده
چکیده
Let Pn = K[x1, . . . , xn] be a polynomial algebra over a field K of characteristic zero and div0n (respectively, div c n) be the Lie algebra of derivations of Pn with zero (respectively, constant) divergence. We prove that AutLie(div 0 n) ≃ AutK−alg(Pn) (n ≥ 2) and AutLie(div c n) ≃ AutK−alg(Pn). The Lie algebra div c n is a maximal Lie subalgebra of DerK(Pn). Minimal finite sets of generators are found for the Lie algebras div0n and div c n.
منابع مشابه
The groups of automorphisms of the Lie algebras of formally analytic vector fields with constant divergence
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