Representations of solvable Lie algebras. V: On the Gelfand-Kirillov dimension of simple modules

DOI10.1016/0021-8693(82)90226-5zbMath0484.16013OpenAlexW2079432434WikidataQ115367167 ScholiaQ115367167MaRDI QIDQ1163623

John C. McConnell

Publication date: 1982

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90226-5

zbMATH Keywords

Weyl algebraGelfand-Kirillov dimensionfinitely generated algebraNoetherian integral domainsenveloping algebras of solvable Lie algebrasfaithful simple module

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Solvable, nilpotent (super)algebras (17B30) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (7)

A Bernstein-Gabber-Joseph theorem for affine algebras ⋮ A dichotomy for the Gelfand-Kirillov dimensions of simple modules over simple differential rings ⋮ Primitivity in differential operator rings ⋮ Localizations of injective modules ⋮ GK Dimensions of Simple Modules OverK[X^±1, σ] ⋮ Holonomic modules for rings of invariant differential operators ⋮ Prime affine algebras of Gelfand-Kirillov dimension one

Cites Work

• Unnamed Item
• Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
• Representations of solvable Lie algebras. II. Twisted group rings

This page was built for publication: Representations of solvable Lie algebras. V: On the Gelfand-Kirillov dimension of simple modules