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Modules simples sur une algèbre de Lie nilpotente contenant un vecteur propre pour une sous-algèbre

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Publication:3204645
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DOI10.24033/asens.1609zbMath0717.17015OpenAlexW2179375923MaRDI QIDQ3204645

Yves Benoist

Publication date: 1990

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_1990_4_23_3_495_0


zbMATH Keywords

simple modulesenveloping algebranilpotent Lie algebra\({\mathcal D}\)-modulesprimitive ideal


Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Sheaves of differential operators and their modules, (D)-modules (32C38) Solvable, nilpotent (super)algebras (17B30) Universal enveloping algebras of Lie algebras (16S30)


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Cites Work

  • Symplectic geometry and representations
  • Représentations monomiales des groupes de Lie nilpotents. (Monomial representations of nilpotent Lie groups)
  • Abstract Plancherel theorems and a Frobenius reciprocity theorem
  • Sur l'algèbre enveloppante d'une algèbre de Lie nilpotente
  • UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
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