Gelfand-Kirillov Dimension for the Annihilators of Simple Quotients of Verma Modules

DOI10.1112/jlms/s2-18.1.50zbMath0401.17007OpenAlexW2025185943MaRDI QIDQ4185005

Anthony Joseph

Publication date: 1978

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-18.1.50

zbMATH Keywords

Enveloping AlgebraGelfand-Kirillov DimensionComplex Semisimple Lie AlgebraPrimitive IdealsVerma Modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Division rings and semisimple Artin rings (16Kxx)

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