Sous-corps commutatifs ad-stables des anneaux de fractions des quotients des algèbres enveloppantes; espaces homogènes et induction de Mackey. (Ad-stable commutative subfields of the ring of fractions of quotients of enveloping algebras; homogeneous spa

DOI10.1016/0022-1236(86)90095-9zbMath0618.17007OpenAlexW2067332595MaRDI QIDQ1089086

Rudolf Rentschler, Colette Moeglin

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90095-9

zbMATH Keywords

enveloping algebraorbit methodring of fractionsaffine algebraic groupprimitive idealrational idealscommutative subfieldsDuflo parametrisationMackey inductionprimitive quotients

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Localization and associative Noetherian rings (16P50)

Related Items (4)

Rings which are modules in the Bernstein-Gelfand-Gelfand \(\mathcal O\) category ⋮ Algebraic group actions on noncommutative spectra. ⋮ Actions of algebraic groups on the spectrum of rational ideals. II ⋮ On the classification of quantum \({\mathcal O}\)-algebras

Cites Work

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• Ideaux primitifs des algèbres enveloppantes
• Primitive ideals in enveloping algebras
• Sur la classification des idéaux primitifs des algèbres enveloppantes
• Orbites d'un groupe algébrique dans l'espace des idéaux rationnels d'une algèbre enveloppante
• Algèbres d'opérateurs différentiels et quotients des algèbres enveloppantes
• On the Gel'fand-Kirillov conjecture for induced ideals in the semisimple case

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