Publication

Simple and projective correspondence functors

Jacques Thévenaz
2021
Journal Articles

Abstract

A correspondence functor is a functor from the category of finite sets and correspondences to the category of k-modules, where k is a commutative ring. We determine exactly which simple correspondence functors are projective. We also determine which simple modules are projective for the algebra of all relations on a finite set. Moreover, we analyze the occurrence of such simple projective functors inside the correspondence functor F associated with a finite lattice and we deduce a direct sum decomposition of F.

Official source

https://infoscience.epfl.ch/entities/publication/8d9d4d67-7c00-4b33-9194-d78bd6f737dc

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Simple and projective correspondence functors

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