no. 17-18
Algebra/Homological Algebra
Localising subcategories for cochains on the classifying space of a finite group
[Sous-catégories localisantes pour les co-chaînes des espaces classifiants de groupes finis]

Présenté par : the Editorial Board

Benson, Dave1 ; Iyengar, Srikanth B.2 ; Krause, Henning3
1 Institute of Mathematics, University of Aberdeen, Kingʼs College, Aberdeen AB24 3UE, Scotland, UK
2 Department of Mathematics, University of Nebraska, Lincoln, NE 68588, USA
3 Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany
Comptes Rendus. Mathématique, Tome 349 (2011) no. 17-18, pp. 953-956.

Nous identifions les sous-catégories localisantes de la catégorie dérivée des co-chaînes, à coefficients dans un corps k de caractéristique p, sur lʼespace classifiant dʼun groupe fini G. Elles sont en correspondance biunivoque avec les sous-ensembles de lʼensemble des idéaux premiers homogènes de lʼanneau de co-homologie H⁎(G,k).

The localising subcategories of the derived category of the cochains on the classifying space of a finite group are classified. They are in one to one correspondence with the subsets of the set of homogeneous prime ideals of the cohomology ring H⁎(G,k).

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2011.08.019
Benson, Dave 1 ; Iyengar, Srikanth B. 2 ; Krause, Henning 3

1 Institute of Mathematics, University of Aberdeen, Kingʼs College, Aberdeen AB24 3UE, Scotland, UK
2 Department of Mathematics, University of Nebraska, Lincoln, NE 68588, USA
3 Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany 
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Benson, Dave; Iyengar, Srikanth B.; Krause, Henning. Localising subcategories for cochains on the classifying space of a finite group. Comptes Rendus. Mathématique, Tome 349 (2011) no. 17-18, pp. 953-956. doi : 10.1016/j.crma.2011.08.019. http://www.numdam.org/articles/10.1016/j.crma.2011.08.019/

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☆ The research of the second author was undertaken during a visit to the University of Bielefeld, supported by a research prize from the Humboldt Foundation, and by NSF grant DMS 0903493.