Simple and projective correspondence functors
Representation Theory
2019-02-27 v1 Combinatorics
Category Theory
Group Theory
Abstract
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 which simple correspondence functors are projective. Moreover, we analyze the occurrence of such simple projective functors inside the correspondence functor associated with a finite lattice and we deduce a direct sum decomposition of .
Cite
@article{arxiv.1902.09816,
title = {Simple and projective correspondence functors},
author = {Serge Bouc and Jacques Thévenaz},
journal= {arXiv preprint arXiv:1902.09816},
year = {2019}
}