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math.RT2015
Quasi-hereditary property of double Burnside algebras
Baptiste Rognerud
In this short note we investigate some consequences of the vanishing of simple biset functors. As corollary, if there is no non-trivial vanishing of simple biset functors (e.g. if…
math.RT2015
Around evaluations of biset functors
Baptiste Rognerud
For a non-vanishing group, we show that the evaluation functor induces an equivalence between the category of modules over the double Burnside algebra and a certain category of bis…