有限集上所有关系的幺半群代数
环与代数
2019-02-11 v2 组合数学
群论
表示论
摘要
我们对有限集上关系代数的所有单模进行了分类,给出了它们的维数,并求出了该代数的雅各布森根的维数。
引用
@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}
}
备注
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