作者: A. Premet
DOI: 10.17323/1609-4514-2007-7-4-743-762
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摘要: We prove that all finite W-algebras associated with nilpotent elements e in a complex semisimple Lie algebra g have finite-dimensional representations. In order to obtain this result we establish connection between primitive ideals of U(g) attached the orbit containing and representations reduced enveloping assiciated over an algebraically closed field characteristic.