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research article

Simple and projective correspondence functors

Bouc, Serge
•
Thévenaz, Jacques  
2021
Representation Theory

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.

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Type
research article
DOI
10.1090/ert/564
ArXiv ID

arXiv:1902.09816v1

Author(s)
Bouc, Serge
Thévenaz, Jacques  
Date Issued

2021

Published in
Representation Theory
Volume

25

Start page

224

End page

264

Subjects

finite set

•

correspondence

•

functor category

•

simple functor

•

poset

•

lattice

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CTG  
Available on Infoscience
September 8, 2020
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/171463
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