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Tensor product of correspondence functors
Serge Bouc, Jacques Thévenaz
As part of the study of correspondence functors, the present paper investigates their tensor product and proves some of its main properties. In particular, the correspondence funct…
Simple and projective correspondence functors
Serge Bouc, Jacques Thévenaz
A correspondence functor is a functor from the category of finite sets and correspondences to the category of -modules, where is a commutative ring. We determine exactly whi…
Correspondence functors and finiteness conditions
Serge Bouc, Jacques Thévenaz
We investigate the representation theory of finite sets. The correspondence functors are the functors from the category of finite sets and correspondences to the category of k-modu…
Correspondence functors and lattices
Serge Bouc, Jacques Thévenaz
A correspondence functor is a functor from the category of finite sets and correspondences to the category of k-modules, where k is a commu-tative ring. A main tool for this study…
The algebra of Boolean matrices, correspondence functors, and simplicity
Serge Bouc, Jacques Thévenaz
We 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 d…