Bouc, SergeStancu, RaduThévenaz, Jacques2012-04-262012-04-262012-04-26201310.1016/j.jpaa.2012.08.005https://infoscience.epfl.ch/handle/20.500.14299/79723WOS:000312172300010Let G be a finite group and let k be a field. Our purpose is to investigate the simple modules for the double Burnside ring kB(G,G). It turns out that they are evaluations at G of simple biset functors. For a fixed finite group H, we introduce a suitable bilinear form on kB(G,H) and we prove that the quotient of kB(-,H) by the radical of the bilinear form is a semi-simple functor. This allows for a description of the evaluation of simple functors, hence of simple modules for the double Burnside ring.biset functorsdouble Burnside ringtext::journal::journal article::research article