Abstract

Let \(\) be a complex semisimple Lie algebra and let \(\), resp. \(\), be its symmetric, resp. enveloping algebra. It is shown in [1] that finite \(\)-algebras can be realized, up to a central extension, as the algebra of invariants \(\), resp. \(\), for the adjoint action of a Lie subalgebra \(\) of \(\). For \(\) nilpotent, we use the Taylor lemma to give a description (generators and relations) for these algebras.

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