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On the characterization of primitive ideals in enveloping algebras. (English) Zbl 0437.17002


MSC:

17B35 Universal enveloping (super)algebras
17B30 Solvable, nilpotent (super)algebras
16P10 Finite rings and finite-dimensional associative algebras
16Dxx Modules, bimodules and ideals in associative algebras
16P50 Localization and associative Noetherian rings
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References:

[1] Dixmier, J.: Algèbres enveloppantes. Paris: Gauthier-Villars 1974 · Zbl 0308.17007
[2] Dixmier, J.: Idéaux primitifs dans les algèbres enveloppantes. J. Algebra48, 96-112 (1977) · Zbl 0366.17007 · doi:10.1016/0021-8693(77)90296-4
[3] Duflo, M.: Certaines algèbres de type fini sont des algèbres de Jacobson. J. Algebra27, 358-365 (1973) · Zbl 0279.16010 · doi:10.1016/0021-8693(73)90110-5
[4] Formanek, E., Jategaonkar, A.V.: Subrings of noetherian rings. Proc. Amer. Math. Soc.46, 181-186 (1974) · Zbl 0267.13009 · doi:10.1090/S0002-9939-1974-0414625-5
[5] Irving, R.: Primitive ideals of certain noetherian algebras. Math. Z.169, 77-92 (1979) · Zbl 0409.16014 · doi:10.1007/BF01214914
[6] Moeglin, C.: Idéaux primitifs dans les algèbres enveloppantes. C. R. Acad. Sci. Paris Sér. A288, 709-712 (1979) · Zbl 0405.17008
[7] Quillen, D.: On the endomorphism ring of a simple module over an enveloping algebra. Proc. Amer. Math. Soc.21, 171-172 (1969) · Zbl 0188.08901
[8] Robson, J.C., Small, L.: Liberal extensions. Proc. London Math. Soc. (to appear) · Zbl 0473.16019
[9] Moeglin, C.: Idéaux bilatères dans les algèbres enveloppantes. Thèse de doctorat d’état, l’Université de Paris 6, 1980
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