Cohomology of bimodules over enveloping algebras

DOI10.1007/BF01164161zbMath0566.17005OpenAlexW2051261487MaRDI QIDQ1059137

Kenneth A. Brown, Thierry Levasseur

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173589

zbMATH Keywords

bimodulessolvable Lie algebravanishing of Extfinite-dimensional Lie algebraHarish-Chandra moduleswinding automorphism

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Homological methods in Lie (super)algebras (17B55) Solvable, nilpotent (super)algebras (17B30) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Homological methods in associative algebras (16Exx)

Related Items (16)

Homological properties of quantized coordinate rings of semisimple groups ⋮ Operations for modules on Lie-Rinehart superalgebras ⋮ Localization in rings equipped with an action of a solvable Lie algebra ⋮ Injective homogeneity and the Auslander–Gorenstein property ⋮ Ore localization and minimal injective resolutions. ⋮ Condition d'évitement et localisation des algèbres enveloppantes d’algèbres de lie résolubles ⋮ Poincaré duality for $k$-$A$ Lie superalgebras ⋮ Cocycle twists of algebras ⋮ On a class of iterated Ore extensions. ⋮ Homological properties of sklyanin algebras ⋮ Some homological invariants of local PI algebras ⋮ Idealisers and Rings of Differential Operators ⋮ Injective homogeneity and homological homogeneity of the ore extensions ⋮ Linear modules over sklyanin algebras are cohen-macaulay ⋮ Projectively simple rings. ⋮ ON THE AZUMAYA LOCUS OF SOME CROSSED PRODUCTS^#

Cites Work

• Module extensions over Noetherian rings
• Sur les ideaux induits dans les algèbres enveloppantes
• Modules sans torsion et modules injectifs sur les algèbres de Lie resolubles
• Sur quelques points d'algèbre homologique
• Solvable lie algebras polycyclic-by-finite groups and bimodule krull dimension
• Gelfand-kirillov dimension and affine pi rings
• Some examples of modules over Noetherian rings
• Sur les quotients premiers de l'algèbre enveloppante d'une algèbre de Lie résoluble
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