Homological properties of the enveloping algebra U(Sl2)

DOI10.1017/S0305004100059089zbMath0478.17006OpenAlexW1998607285MaRDI QIDQ3934571

J. Toby Stafford

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1017/s0305004100059089

zbMATH Keywords

universal enveloping algebraglobal dimensionCasimir elementsimple Lie algebrahomological dimensionfinitely generated torsion-free left moduleinfinite dimensional primitive factor rings

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20) Homological dimension in associative algebras (16E10) Noetherian rings and modules (associative rings and algebras) (16P40) Representation theory of associative rings and algebras (16Gxx)

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Cites Work

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• Generating modules efficiently: Algebraic K-theory for noncommutative Noetherian rings
• Oresche Teilmengen in Einhüllenden Algebren. (Ore subsets in enveloping algebras)
• Stable structure of noncommutative Noetherian rings
• On the global dimension of skew polynomial rings - An Addendum
• Quotients simples de l'algèbre enveloppante de \({\mathfrak sl}_2\)
• The Primitive Factor Rings of the Enveloping Algebra of sl (2, C )
• Completely Faithful Modules and Ideals of Simple Noetherian Rings
• On the Global Dimension of Some Filtered Algebras

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