GELFAND-KIRILLOV DIMENSION IN ENVELOPING ALGEBRAS

DOI10.1093/qmath/32.1.69zbMath0463.17001OpenAlexW2092204145MaRDI QIDQ3913557

Thomas H. Lenagan

Publication date: 1981

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/32.1.69

zbMATH Keywords

surveyregular elementsuniversal enveloping algebraGelfand-Kirillov dimensionsolvable Lie algebraassociated graded algebraHilbert-Samuel polynomialsemiprime idealsArtinian quotient ringanalogy with Krull dimensiongeneral Noetherian rings

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40) Localization and associative Noetherian rings (16P50) Integral domains (associative rings and algebras) (16U10)

Related Items (3)

Lie groups ⋮ Flat embeddings of noetherian algebras in artinian rings ⋮ Localization in enveloping algebras

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