Projective resolutions of globally defined Mackey functors in characteristic zero
ARCHIV DER MATHEMATIK, vol.96, no.1, pp.39-48, 2011 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 96 Issue: 1
- Publication Date: 2011
- Doi Number: 10.1007/s00013-010-0204-3
- Journal Name: ARCHIV DER MATHEMATIK
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.39-48
- Middle East Technical University Affiliated: Yes
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.