Bouc, SergeThévenaz, Jacques2018-11-192018-11-192018-11-192020-01-0110.4171/JCA/44https://infoscience.epfl.ch/handle/20.500.14299/1514941902.05422We determine the dimension of every simple module for the algebra of the monoid of all relations on a finite set (i.e. Boolean matrices). This is in fact the same question as the determination of the dimension of every evaluation of a simple correspondence functor. The method uses the theory of such functors developed in previous papers, as well as some new ingredients in the theory of finite lattices.Finite setCorrespondenceRelationBoolean matrixFunctor categorySimple functorSimple modulePosetLatticetext::journal::journal article::research article