The Rigid Dualizing Complex of a Universal Enveloping Algebra

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dc.creatorYekutieli, Amnon
dc.date1998-10-04
dc.date.accessioned2026-07-07T05:26:17Z
dc.date.available2026-07-07T05:26:17Z
dc.descriptionLet k be a field and A a noetherian (noncommutative) k-algebra. The rigid dualizing complex of A was introduced by Van den Bergh. When A = U(g), the enveloping algebra of a finite dimensional Lie algebra g, Van den Bergh conjectured that the rigid dualizing complex is (U(g) \otimes \wedge^{n} g)[n], where n = dim g. We prove this conjecture, and give a few applications in representation theory and Hochschild cohomology.
dc.description8 pages, AMSLaTeX
dc.identifierhttps://arxiv.org/abs/math/9810016
dc.identifierhttp://arxiv.org/abs/math/9810016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77496
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject16D90; 16E40, 16E30, 17B55
dc.titleThe Rigid Dualizing Complex of a Universal Enveloping Algebra
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