Projective resolutions of globally defined Mackey functors in characteristic zero (Q623438)

The authors apply \textit{S. Bouc}'s general method [``Résolutions de foncteurs de Mackey'', Proc. Symp. Pure Math. 63, 31--83 (1998; Zbl 0897.19001)] to construct projective resolutions of globally defined Mackey functors over a field of characteristic zero. As an application of this construction of projective resolutions, the authors obtain explicit projective resolutions of inflation functors, and use them to compute the higher ext groups of simple inflation functors.