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Borho, Walter

Primitive vollprime Ideale in der Einhüllenden von \(\mathfrak {so}(5,\mathbb{C})\). (German) Zbl 0346.17013

J. Algebra 43, 619-654 (1976).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 17 Documents

MSC:

17B35 Universal enveloping (super)algebras
16D60 Simple and semisimple modules, primitive rings and ideals in associative algebras
16P50 Localization and associative Noetherian rings
16Dxx Modules, bimodules and ideals in associative algebras
16E10 Homological dimension in associative algebras
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References:

[1] Borho, W.; Gabriel, P.; Rentschler, R., Primideale in Einhüllenden auflösbarer Lie-Algebren, (Lecture Notes in Mathematics, Vol. 357 (1973), Springer-Verlag: Springer-Verlag Berlin/New York) · Zbl 0293.17005
[2] Borho, W.; Kraft, H., Über die Gelfand-Kirillov-Dimension, eingereicht bei, Math. Ann., 220, 1-24 (1976) · Zbl 0306.17005
[3] Borho, W.; Rentschler, R., Oresche Teilmengen in Einhüllenden Algebren, Math. Ann., 217, 201-210 (1975) · Zbl 0297.17004
[4] W. Borho und J. C. JantzenInventiones Math.; W. Borho und J. C. JantzenInventiones Math. · Zbl 0327.17002
[5] W. BorhoMath. Ann.; W. BorhoMath. Ann. · Zbl 0346.17012
[6] Bourbaki, N., Groupes et algèbres de Lie (1968), Hermann: Hermann Paris, Chap. IV-VI · Zbl 0186.33001
[7] Conze, N., Algèbres d’opérateurs différentiels et quotients des algèbres enveloppantes, Bull. Soc. Math. France, 102, 379-415 (1974) · Zbl 0298.17012
[8] Conze, N.; Dixmier, J., Idéaux primitifs dans l’algèbre enveloppante d’une algèbre de Lie semi-simple, Bull. Sci. Math., 96, 339-351 (1972) · Zbl 0246.17009
[9] Dixmier, J., Algèbres enveloppantes (1974), Gauthier-Villars: Gauthier-Villars Paris · Zbl 0308.17007
[10] Dixmier, J., Idéaux primitifs complètement premiers dans l’algèbre enveloppante de \(sl(3, C)\), (Noncommutative Harmonic Analysis. Noncommutative Harmonic Analysis, Lecture Notes in Mathematics, Vol. 466 (1975), Springer-Verlag: Springer-Verlag Berlin/New York) · Zbl 0307.17005
[11] Dixmier, J., Idéaux primitifs dans l’algèbre enveloppante d’une algèbre de Lie semi-simple complexe, C. R. Acad. Sci. Paris, 272, 1628-1630 (1971) · Zbl 0215.09504
[12] Gabriel, P.; Nouazé, Y., Idéaux premiers de l’algèbre enveloppante d’une algèbre de Lie nilpotente, J. Algebra, 6, 77-99 (1967) · Zbl 0159.04101
[13] Jantzen, J. C., Darstellungen halbeinfacher algebraischer Gruppen und zugeordnete kontravariante Formen, Bonn. Math. Schr., 67 (1973) · Zbl 0288.17004
[14] Joseph, A., The minimal orbit in a simple Lie-algebra and its associated maximal ideal, Ann. Sci. École Norm. Sup., 9, 1-30 (1976) · Zbl 0346.17008
[15] Joseph, A., Minimal realizations and spectrum generating algebras, Comm. Math. Phys., 36, 325-338 (1974) · Zbl 0285.17007
[16] Joseph, A., Gelfand-Kirillov dimension for algebras associated with the Weyl-algebra, Ann. Inst. H. Poincaré, 17, 325-336 (1972) · Zbl 0287.16011
[17] Joseph, A., Sur les algèbres de Weyl, Vorlesungsausarbeitung, I.H.E.S. (1974)
[18] Krämer, M., Über das Verhalten von Untergruppen bei Darstellungen kompakter zusammenhängender Lie-Gruppen (1975), Habilitationsschrift: Habilitationsschrift Bonn
[19] Rentschler, R.; Vergne, M., Sur le semi-centre du corps enveloppant d’une algèbre de Lie, Ann. Sci. École Norm. Sup., 6, 389-405 (1973) · Zbl 0293.17007
[20] \( \textsc{R. Rentschler}gsCg^∗\); \( \textsc{R. Rentschler}gsCg^∗\)
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