Projective resolutions of globally defined Mackey functors in characteristic zero
Article
First Online:
Received:
- 49 Downloads
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.
Keywords
Projective resolution Globally defined Mackey functors Inflation functors Cartan matrix Biset Biset functorsPreview
Unable to display preview. Download preview PDF.
References
- 1.Bouc S.: Foncteurs d’ensembles munis d’une double action. J. Algebra 183, 664–736 (1996)zbMATHCrossRefMathSciNetGoogle Scholar
- 2.Bouc S.: Résolutions de Foncteurs de Mackey. Proc. Symp. Pure Math. 63, 31–84 (1998)MathSciNetGoogle Scholar
- 3.Coşkun O.: Mackey functors, induction from restriction functors and coinduction from transfer functors. J. Algebra 315, 224–248 (2007)zbMATHCrossRefMathSciNetGoogle Scholar
- 4.Coşkun O.: Alcahestic subalgebras of the alchemic algebra and a correspondence of simple modules. J. Algebra 320, 2422–2450 (2008)zbMATHCrossRefMathSciNetGoogle Scholar
- 5.Webb P.: Stratifications and Mackey functors II: globally defined Mackey functors. J. K-theory 6, 99–170 (2010)zbMATHCrossRefMathSciNetGoogle Scholar
Copyright information
© Springer Basel AG 2010