Krull dimension of factor rings of the enveloping algebra of a semi-simple Lie algebra

DOI10.1017/S030500410006076XzbMath0535.17008WikidataQ115336091 ScholiaQ115336091MaRDI QIDQ3318932

S. Paul. Smith

Publication date: 1983

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

upper boundenveloping algebraKrull dimensionGelfand-Kirillov dimensioncomplex semisimple Lie algebraideal theory

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (7)

Krull dimension of Iwasawa algebras. ⋮ Central localization and Gelfand-Kirillov dimension ⋮ On irreducible representations of compact \(p\)-adic analytic groups ⋮ On locally analytic Beilinson-Bernstein localization and the canonical dimension ⋮ KRULL DIMENSION OF AFFINOID ENVELOPING ALGEBRAS OF SEMISIMPLE LIE ALGEBRAS ⋮ Overrings of primitive factor rings of \(U(sl(2,\mathbb{C}))\) ⋮ Homological stability for completed homology

Cites Work

• Unnamed Item
• Krull dimensions of the enveloping algebra of sl(2,C)
• Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple
• A generalization of Quillen's lemma and its application to the Weyl algebras
• Minimal realizations and spectrum generating algebras
• The Integrability of the Characteristic Variety
• Gelfand-Kirillov Dimension for the Annihilators of Simple Quotients of Verma Modules

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