Polynomial functors and nonlinear Mackey functors

Hans-Joachim Baues; Winfried Dreckmann; Vincent Franjou; Teimuraz Pirashvili

Bulletin de la Société Mathématique de France (2001)

  • Volume: 129, Issue: 2, page 237-257
  • ISSN: 0037-9484

Abstract

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Polynomial functors from free abelian groups to abelian groups are described explicitely in the form of diagrams of abelian groups, that are maps between the cross-effects of the polynomial functor which satisfy a list of relations. The key is to use an appropriate notion of Mackey functor from the category of finite sets and surjections.

How to cite

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Baues, Hans-Joachim, et al. "Foncteurs polynomiaux et foncteurs de Mackey non linéaires." Bulletin de la Société Mathématique de France 129.2 (2001): 237-257. <http://eudml.org/doc/272400>.

@article{Baues2001,
abstract = {On décrit les foncteurs polynomiaux, des groupes abéliens libres vers les groupes abéliens, comme des diagrammes de groupes abéliens dont on explicite les relations.},
author = {Baues, Hans-Joachim, Dreckmann, Winfried, Franjou, Vincent, Pirashvili, Teimuraz},
journal = {Bulletin de la Société Mathématique de France},
keywords = {diagram of abelian group; Mackey functor; polynomial functor},
language = {fre},
number = {2},
pages = {237-257},
publisher = {Société mathématique de France},
title = {Foncteurs polynomiaux et foncteurs de Mackey non linéaires},
url = {http://eudml.org/doc/272400},
volume = {129},
year = {2001},
}

TY - JOUR
AU - Baues, Hans-Joachim
AU - Dreckmann, Winfried
AU - Franjou, Vincent
AU - Pirashvili, Teimuraz
TI - Foncteurs polynomiaux et foncteurs de Mackey non linéaires
JO - Bulletin de la Société Mathématique de France
PY - 2001
PB - Société mathématique de France
VL - 129
IS - 2
SP - 237
EP - 257
AB - On décrit les foncteurs polynomiaux, des groupes abéliens libres vers les groupes abéliens, comme des diagrammes de groupes abéliens dont on explicite les relations.
LA - fre
KW - diagram of abelian group; Mackey functor; polynomial functor
UR - http://eudml.org/doc/272400
ER -

References

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  9. [9] H. Linder – « A remark on mackey-functors », Manuscripta Math., vol. 3, p. 273–278, Manuscripta Math., 1976. Zbl0321.18002MR401864
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  12. [12] J. Thévenaz & P. Webb – « The structure of Mackey functors », Trans. Amer. Math. Soc. 347 (1995), no. 6, p. 1865–1961. Zbl0834.20011MR1261590

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