Abstract
The aim of this paper is to present a general method to construct projective resolutions of globally defined Mackey functors over a field of characteristic zero and apply it to obtain explicit resolutions for inflation functors. Our method is a special case of Bouc’s method in (Proc. Symp. Pure Math. 63 (1998), 31–84) and uses global Mackey functors to construct the projective resolutions.
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Bouc S.: Foncteurs d’ensembles munis d’une double action. J. Algebra 183, 664–736 (1996)
Bouc S.: Résolutions de Foncteurs de Mackey. Proc. Symp. Pure Math. 63, 31–84 (1998)
Coşkun O.: Mackey functors, induction from restriction functors and coinduction from transfer functors. J. Algebra 315, 224–248 (2007)
Coşkun O.: Alcahestic subalgebras of the alchemic algebra and a correspondence of simple modules. J. Algebra 320, 2422–2450 (2008)
Webb P.: Stratifications and Mackey functors II: globally defined Mackey functors. J. K-theory 6, 99–170 (2010)
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Coşkun, O., Pamuk, S. Projective resolutions of globally defined Mackey functors in characteristic zero. Arch. Math. 96, 39–48 (2011). https://doi.org/10.1007/s00013-010-0204-3
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DOI: https://doi.org/10.1007/s00013-010-0204-3