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Overrings of primitive factor rings of \(U(sl(2,\mathbb{C}))\)

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Publication:1813639
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DOI10.1016/0022-4049(90)90027-FzbMath0849.17006MaRDI QIDQ1813639

S. Paul. Smith

Publication date: 25 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)


zbMATH Keywords

automorphismsenveloping algebraprimitive factor ringsDixmier algebrasrings of differential operatorsprimitive idealHarish-Chandra bimodulescoverings of coadjoint orbitslocally finite action


Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Universal enveloping algebras of Lie algebras (16S30)


Related Items

Overrings of primitive factors of quantum \(\mathfrak{sl}(2)\), Can the Weyl Algebra be a Fixed Ring?, The Weyl algebra as a fixed ring



Cites Work

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  • It's essentially Maschke's theorem
  • The minimal nilpotent orbit, the Joseph ideal, and differential operators
  • Kostant's problem, Goldie rank and the Gelfand-Kirillov conjecture
  • An additivity principle for Goldie rank
  • Rings of differential operators on classical rings of invariants
  • Krull dimension of factor rings of the enveloping algebra of a semi-simple Lie algebra
  • Modules of t-Finite Vectors Over Semi-Simple Lie Algebras
  • Differential Operators on an Affine Curve
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