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arXiv · 1409.0629

Cohomologie des foncteurs polynomiaux sur les groupes libres

Aurélien Djament·Teimuraz Pirashvili·Christine Vespa
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Abstract

We show that extension groups between two polynomial functors on free groups are the same in the category of all functors and in a subcategory of polynomial functors of bounded degree. We give some applications. ---- On montre que les groupes d'extensions entre foncteurs polynomiaux sur les groupes libres sont les m\^emes dans la cat\'egorie de tous les foncteurs et dans une sous-cat\'egorie de foncteurs polynomiaux de degr\'e born\'e. On donne quelques applications.

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Aurélien Djament, Teimuraz Pirashvili, Christine Vespa. 2014-09-02. Cohomologie des foncteurs polynomiaux sur les groupes libres. https://arxiv.org/abs/1409.0629

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