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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Received: 20 December 1996 / Accepted: 21 March 1997
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Caldero, P. Invariants in the Enveloping Algebra of a Semisimple Lie Algebra for the Adjoint Action of a Nilpotent Lie Subalgebra . Comm Math Phys 189, 699–707 (1997). https://doi.org/10.1007/s002200050225
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DOI: https://doi.org/10.1007/s002200050225