Représentations injectives d'algèbres de lie resolubles

DOI10.1080/00927878608823380zbMath0601.17007OpenAlexW1968647396MaRDI QIDQ3735905

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Publication date: 1986

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878608823380

zbMATH Keywords

enveloping algebrasolvable Lie algebraminimal injective resolutiontame representationsbimodule structureBrown localization

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Universal enveloping (super)algebras (17B35) Solvable, nilpotent (super)algebras (17B30) Universal enveloping algebras of Lie algebras (16S30) Homological methods in associative algebras (16E99)

Cites Work

• Sur la résolution injective minimale de l'algèbre enveloppante d'une algèbre de Lie résoluble. (On the minimal injective resolution of the enveloping algebra of a solvable Lie algebra)
• Module extensions over Noetherian rings
• Noetherian bimodules, primary decomposition, and Jacobson's conjecture
• Modules sans torsion et modules injectifs sur les algèbres de Lie resolubles
• Representations of Solvable Lie Algebras and the Gelfand-Kirillov Conjecture
• A Decomposition Theorem for Noetherian orders in Artinian Rings
• Localisation in Enveloping Rings

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