Generalized Benson-Carlson duality
type: Item
instance of: scholarly article
title: Generalized Benson-Carlson duality
zbMATH Open document ID: 0848.16030
author: Leonard Evens
author: Stephen F. Siegel
published in: Journal of Algebra
publication date: 1996-10-27T00:00:00Z
review text: This paper examines the results of \textit{D. J. Benson} and \textit{J. F. Carlson} [Trans. Am. Math. Soc. 342, No. 2, 447-488 (1994; Zbl 0816.20044)] and analyzes what happens if the complexes \(C_\zeta\) of that paper are replaced by arbitrary Yoneda extensions representing \(\zeta\). The setting is that of the homological algebra of a finite dimensional cocommutative Hopf algebra \(\Lambda\) over an algebraically closed field \(k\) in which the \(k\)-algebra \(\text{Ext}^*_\Lambda(k,k)\) is finitely generated and for any f.g. \(\Lambda\)-modules \(M\) and \(N\), \(\text{Ext}_\Lambda^*(M,N)\) is finitely generated as an \(\text{Ext}^*_\Lambda(k,k)\)-module.
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 16E30
Mathematics Subject Classification ID: 16D90
Mathematics Subject Classification ID: 18G40
zbMATH DE Number: 868020
zbMATH Keywords: complexes
zbMATH Keywords: Yoneda extensions
zbMATH Keywords: finite dimensional cocommutative Hopf algebras
reviewed by: Timothy Porter
MaRDI profile type: Publication
full work available at URL: jabr.1996.0036
OpenAlex ID: W2072672203
Wikidata QID: Q116221034
DOI: 10.1006/JABR.1996.0036
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description: scientific article; zbMATH DE number 868020