The monoid algebra of all relations on a finite set
Rings and Algebras
2019-02-11 v2 Combinatorics
Group Theory
Representation Theory
Abstract
We classify all the simple modules for the algebra of relations on a finite set, give their dimension, and find the dimension of the Jacobson radical of the algebra.
Keywords
Cite
@article{arxiv.1511.01741,
title = {The monoid algebra of all relations on a finite set},
author = {Serge Bouc and Jacques Thévenaz},
journal= {arXiv preprint arXiv:1511.01741},
year = {2019}
}
Comments
This paper will never appear in this form. It is replaced by the following expanded article:- The algebra of Boolean matrices, correspondence functors, and simplicity, submitted preprint, 2018