Le complexe de Koszul en algèbre et topologie

Stephen Halperin

Annales de l'institut Fourier (1987)

  • Volume: 37, Issue: 4, page 77-97
  • ISSN: 0373-0956

Abstract

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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

How to cite

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Halperin, Stephen. "Le complexe de Koszul en algèbre et topologie." Annales de l'institut Fourier 37.4 (1987): 77-97. <http://eudml.org/doc/74783>.

@article{Halperin1987,
abstract = {The Koszul complex, as introduced in 1950, was a differential graded algebra which modelled a principal fibre bundle. Since then it has been an effective tool, both in algebra and in topology, for the calculation of homological and homotopical invariants. After a partial summary of these results we recall more recent generalizations of this complex, and some applications.},
author = {Halperin, Stephen},
journal = {Annales de l'institut Fourier},
keywords = {Koszul complex; cohomology of Lie algebra pairs; cohomology of homogeneous spaces},
language = {fre},
number = {4},
pages = {77-97},
publisher = {Association des Annales de l'Institut Fourier},
title = {Le complexe de Koszul en algèbre et topologie},
url = {http://eudml.org/doc/74783},
volume = {37},
year = {1987},
}

TY - JOUR
AU - Halperin, Stephen
TI - Le complexe de Koszul en algèbre et topologie
JO - Annales de l'institut Fourier
PY - 1987
PB - Association des Annales de l'Institut Fourier
VL - 37
IS - 4
SP - 77
EP - 97
AB - The Koszul complex, as introduced in 1950, was a differential graded algebra which modelled a principal fibre bundle. Since then it has been an effective tool, both in algebra and in topology, for the calculation of homological and homotopical invariants. After a partial summary of these results we recall more recent generalizations of this complex, and some applications.
LA - fre
KW - Koszul complex; cohomology of Lie algebra pairs; cohomology of homogeneous spaces
UR - http://eudml.org/doc/74783
ER -

References

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