Geodesic
Stacks of group representations
Journal of the European Mathematical Society, Tome 17 (2015) no. 1, pp. 189-228 Cet article a éte moissonné depuis la source EMS Press

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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 
@article{JEMS_2015_17_1_a4,
     author = {Paul Balmer},
     title = {Stacks of group representations},
     journal = {Journal of the European Mathematical Society},
     pages = {189--228},
     year = {2015},
     volume = {17},
     number = {1},
     doi = {10.4171/jems/501},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/501/}
}
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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

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