19 citations · 47 across the 7 of their papers we have counts for
7 papers
Lannes' t functor on injective unstable modules and harish-chandra restriction
Vincent Franjou, Dang Ho Hai Nguyen, Lionel Schwartz
In the 1980's, the magic properties of the cohomology of elementary abelian groups as modules over the Steenrod algebra initiated a long lasting interaction between topology and mo…
Spaces with Noetherian cohomology
Kasper K. S. Andersen, Natalia Castellana, Vincent Franjou +2
Is the cohomology of the classifying space of a p-compact group, with Noetherian twisted coefficients, a Noetherian module? This note provides, over the ring of p-adic integers, su…
Power reductivity over an arbitrary base
Vincent Franjou, Wilberd Van Der Kallen
Our starting point is Mumford's conjecture, on representations of Chevalley groups over fields, as it is phrased in the preface of "Geometric Invariant Theory". After extending the…
Cohomology of bifunctors
Vincent Franjou, Eric M. Friedlander
We initiate the study of the cohomology of (strict polynomial) bifunctors by introducing the foundational formalism, establishing numerous properties in analogy with the cohomology…
Strict polynomial functors and coherent functors
Vincent Franjou, Teimuraz Pirashvili
We build an explicit link between coherent functors in the sense of Auslander and strict polynomial functors in the sense of Friedlander and Suslin. Applications to functor cohomol…
Comparison of Abelian categories recollements
Vincent Franjou, Teimuraz Pirashvili
We give a necessary and sufficient condition for a morphism between recollements of abelian categories to be an equivalence.