Abstract
Let g denote a semisimple Lie algebra over an algebraically closed field k of characteristic zero and G, a finite group of k-automorphisms of the enveloping algebra U of g. In this paper, it is proved that, if the subalgebra UG is k-isomorphic to an enveloping algebra, then G is trivial. A similar result for Weyl algebras over k is also obtained.
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