research article
Simple and projective correspondence functors
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.
Type
research article
ArXiv ID
arXiv:1902.09816v1
Author(s)
Bouc, Serge
Date Issued
2021
Published in
Volume
25
Start page
224
End page
264
Subjects
Editorial or Peer reviewed
REVIEWED
Written at
EPFL
EPFL units
Available on Infoscience
September 8, 2020
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