1998/10/04 by Amnon Yekutieli, Yekutieli, Amnon
Mathematics · #16D90 #16E30 #16E40 #17B55 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16D90 #msc:16E30 #msc:16E40 #msc:17B55
paper · pdf · doi:10.48550/arxiv.math/9810016
8 pages, AMSLaTeX
arxiv created 1998/10/04 · openalex publication_date 1998/10/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let 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) ⊗ \wedgen g)[n], where n = dim g. We prove this conjecture, and give a few applications in representation theory and Hochschild cohomology.