Order relations on induced and prime ideals in the enveloping algebra of a semisimple Lie algebra
type: Item
instance of: scholarly article
title: Order relations on induced and prime ideals in the enveloping algebra of a semisimple Lie algebra
zbMATH Open document ID: 1151.17005
author: Nikolaos Papalexiou
published in: Journal of Algebra
publication date: 2006-11-15T00:00:00Z
review text: Let \(\mathfrak g\) be a complex semisimple Lie algebra and let \(U(\mathfrak g)\) denote its enveloping algebra. In the first two sections of the paper under review the author investigates the characteristic variety of an ideal in \(U(\mathfrak g)\) induced by a primitive ideal in the enveloping algebra of a Levi subalgebra of \(\mathfrak g\). The last section is devoted to the study of the characteristice variety for a prime ideal.
reviewed by: Ernesto Spinelli
Mathematics Subject Classification ID: 17B35
zbMATH DE Number: 5072874
zbMATH Keywords: Semisimple Lie algebras
zbMATH Keywords: Enveloping algebras
zbMATH Keywords: Induced ideals
zbMATH Keywords: Prime ideals
Wikidata QID: Q115351572
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2006.03.007
OpenAlex ID: W2018909924
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DOI: 10.1016/J.JALGEBRA.2006.03.007
description: scientific article; zbMATH DE number 5072874