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arXiv · 1104.1507

Sur l'homologie des groupes unitaires \`a coefficients polynomiaux

Aurélien Djament
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Abstract

We extend the results of the author with C. Vespa (Ann. Sci. ENS 2010) to stable homology of unitary groups over an arbitrary ring twisted by a polynomial functor : we show that it can be computed from the homology with constant coefficients and functor homology groups which can be explicitly computed in some cases.---On g\'en\'eralise les r\'esultats de l'auteur et C. Vespa (Ann. Sci. ENS 2010) \`a l'homologie stable des groupes unitaires sur un anneau quelconque \`a coefficients tordus par un foncteur polynomial, dont on montre qu'elle peut s'exprimer \`a partir de l'homologie \`a coefficients constants et de groupes d'homologie des foncteurs qu'on peut calculer explicitement dans les cas favorables.

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Aurélien Djament. 2011-04-08. Sur l'homologie des groupes unitaires \`a coefficients polynomiaux. https://arxiv.org/abs/1104.1507

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