Le complexe de Koszul en algèbre et topologie. (The Koszul complex in algebra and topology)
type: Item
instance of: scholarly article
title: Le complexe de Koszul en algèbre et topologie. (The Koszul complex in algebra and topology)
zbMATH Open document ID: 0625.57022
author: Stephen Halperin
publication date: 1987-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74783
review text: Le complexe de Koszul, introduit en 1950, était une algèbre différentielle graduée qui servait comme modèle pour un fibré principal. Il a servi depuis, en algèbre et en topologie, comme outil efficace pour le calcul d'invariants homologiques et homotopiques. Après un résumé partiel de ces résultats, on rappelle des généralisations plus récentes de ce complexe et des applications.
Mathematics Subject Classification ID: 57T15
Mathematics Subject Classification ID: 17B56
Mathematics Subject Classification ID: 53C35
zbMATH DE Number: 4015735
zbMATH Keywords: Koszul complex
zbMATH Keywords: cohomology of Lie algebra pairs
zbMATH Keywords: cohomology of homogeneous spaces
MaRDI profile type: Publication
OpenAlex ID: W2030963990
cites work: Cohomologie des algèbres différentielles où opère une algèbre de Lie
cites work: Sullivan's Minimal Models and Higher Order Whitehead Products
cites work: On the homology of local rings
cites work: Codimension and multiplicity
cites work: Homology algebra of the Koszul complex of a local Gorenstein ring
cites work: Q5650786
cites work: ON THE HOPF ALGEBRA OF A LOCAL RING
cites work: Q3344077
cites work: On the ubiquity of Gorenstein rings
cites work: Q3240881
cites work: Q5810580
cites work: On the Structure and Ideal Theory of Complete Local Rings
cites work: Rational L.-S. Category and Its Applications
cites work: The Radical of the Homotopy Lie Algebra
cites work: Q4150360
cites work: A proof of the existence of minimal R-algebra resolutions
cites work: Q5610428
cites work: The non-vanishing of the deviations of a local ring
cites work: Homologie et cohomologie des algèbres de Lie
cites work: Q5810581
cites work: Rational homotopy theory
cites work: Q5602201
cites work: Beiträge zur Topologie der Gruppen-Mannigfaltigkeiten
cites work: Algèbre locale. Multiplicités. Cours au College de France, 1957 - 1958. Redige par Pierre Gabriel. 3e ed
cites work: Infinitesimal computations in topology
cites work: Homology of Noetherian rings and local rings
cites work: Über homologische Invarianten lokaler Ringe
DOI: 10.5802/AIF.1112
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 4015735