Geodesic
Stacks of group representations
Journal of the European Mathematical Society, Tome 17 (2015) no. 1, pp. 189-228.

Voir la notice de l'article provenant de la source EMS Press

We start with a small paradigm shift about group representations, namely the observation that restriction to a subgroup can be understood as an extension-of-scalars. We deduce that, given a group G, the derived and the stable categories of representations of a subgroup H can be constructed out of the corresponding category for G by a purely triangulated-categorical construction, analogous to étale extension in algebraic geometry.
DOI : 10.4171/jems/501
Classification : 20-XX, 00-XX, 14-XX, 18-XX
Keywords: Restriction, extension, monad, stack, modular representations, finite group, ring object, descent, endotrivial representation 
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Paul Balmer. Stacks of group representations. Journal of the European Mathematical Society, Tome 17 (2015) no. 1, pp. 189-228. doi : 10.4171/jems/501. http://geodesic.mathdoc.fr/articles/10.4171/jems/501/

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