Representations of solvable Lie algebras. II. Twisted group rings

DOI10.24033/asens.1283zbMath0323.17006OpenAlexW2601676578WikidataQ115228395 ScholiaQ115228395MaRDI QIDQ4085899

John C. McConnell

Publication date: 1975

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1975_4_8_2_157_0

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Finite rings and finite-dimensional associative algebras (16P10) Group rings (16S34) Universal enveloping (super)algebras (17B35) Solvable, nilpotent (super)algebras (17B30)

Related Items (10)

Amalgams of Weyl algebras and the \({\mathcal A}(V,\delta,\Gamma)\) conjecture ⋮ Module extensions over Noetherian rings ⋮ Representations of solvable Lie algebras. V: On the Gelfand-Kirillov dimension of simple modules ⋮ Nonassociative rings ⋮ A note on twisted group rings and semilinearization ⋮ Some recent developments in ring theory ⋮ Representations of solvable Lie algebras. III: Cancellation theorems ⋮ Sur les quotients premiers de l'algèbre enveloppante d'une algèbre de Lie résoluble, II ⋮ Sur les quotients premiers de l'algèbre enveloppante d'une algèbre de Lie résoluble ⋮ Bimodules sur une algèbre de Lie résoluble. (Bimodules over a solvable Lie algebra)

Cites Work

• Ideaux premiers de l'algèbre enveloppante d'une algèbre de Lie nilpotente
• Modules With Descending Chain Condition
• Representations of Solvable Lie Algebras and the Gelfand-Kirillov Conjecture
• Simplicity of Smash Products
• Lie Algebras and Differentiations in Rings of Power Series
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