On the characterization of primitive ideals in enveloping algebras

DOI10.1007/BF01159659zbMath0437.17002MaRDI QIDQ1141218

Ronald S. Irving, Lance W. Small

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/172983

zbMATH Keywords

universal enveloping algebraprime idealheartprimitive idealfinite dimensional Lie algebra

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Universal enveloping (super)algebras (17B35) Solvable, nilpotent (super)algebras (17B30) Localization and associative Noetherian rings (16P50) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (10)

Poisson algebras via model theory and differential-algebraic geometry ⋮ The Dixmier-Moeglin equivalence and a Gel’fand-Kirillov problem for Poisson polynomial algebras ⋮ \(D\)-groups and the Dixmier-Moeglin equivalence ⋮ The Dixmier-Moeglin equivalence for extensions of scalars and Ore extensions ⋮ A NEW FAMILY OF POISSON ALGEBRAS AND THEIR DEFORMATIONS ⋮ Primitive localizations of an enveloping algebra ⋮ Primitivity of skew polynomial and skew laurent polynomial rings ⋮ On the Dixmier-Moeglin equivalence for Poisson-Hopf algebras ⋮ Primitive ideals of algebras ⋮ The Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebras

Cites Work

• Primitive ideals in enveloping algebras
• Certaines algèbres de type fini sont des algèbres de Jacobson
• Liberal Extensions
• On the Endomorphism Ring of a Simple Module Over an Enveloping Algebra
• Subrings of Noetherian Rings
• Unnamed Item
• Unnamed Item

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