Projective resolutions of globally defined Mackey functors in characteristic zero

Coskun O., PAMUK S.

ARCHIV DER MATHEMATIK, vol.96, no.1, pp.39-48, 2011 (SCI-Expanded) identifier identifier

  • 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.