Duflo theorem for a class of generalized Weyl algebras

DOI10.1142/S0219498815501479zbMath1330.16018arXiv1405.3917MaRDI QIDQ2949760

Joanna Meinel

Publication date: 2 October 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3917

zbMATH Keywords

simple moduleshighest weight modulesannihilatorsprimitive idealsgeneralized Weyl algebrasDuflo theorem

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Graded rings and modules (associative rings and algebras) (16W50) Rings of differential operators (associative algebraic aspects) (16S32) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (1)

Twisted generalized Weyl algebras and primitive quotients of enveloping algebras

Cites Work

• Unnamed Item
• A classification of primitive ideals in the enveloping algebra of a classical simple Lie superalgebra
• Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple
• Weight modules over generalized Weyl algebras
• Modules graded by G-sets
• Characterization of Simple Highest Weight Modules
• A Class of Algebras Similar to the Enveloping Algebra of sl(2)
• Whittaker modules for generalized Weyl algebras
• Simple weith modules over twisted generalized weyl algebras
• Indecomposable representations of generalized weyl algebras

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