Projective resolutions of globally defined Mackey functors in characteristic zero
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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.
KeywordsProjective resolution Globally defined Mackey functors Inflation functors Cartan matrix Biset Biset functors
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