The Character Polynomial of the Annihilator of an Irreducible Harish Chandra Module

DOI10.2307/2374231zbMath0486.17003OpenAlexW2318270682MaRDI QIDQ3946307

Donald R. King

Publication date: 1981

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374231

zbMATH Keywords

irreducible representationhighest weight modulesuniversal enveloping algebrasemisimple Lie groupGelfand-Kirillov dimensionprimitive idealGoldie rankcharacter polynomialannihilator of irreducible Harish Chandra module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Modules, bimodules and ideals in associative algebras (16Dxx)

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