布尔矩阵的代数，对应函子和单纯性
The algebra of Boolean matrices, correspondence functors, and simplicity
摘要：
我们确定了有限集（即布尔矩阵）上所有关系的幺半群的代数的每个单模的维数。事实上，这与确定简单对应函子的每个求值的维数是同一个问题。该方法使用了[BT2，BT3]中开发的此类函子的理论，以及有限格理论中的一些新成分。
英文摘要：
We determine the dimension of every simple module for the algebra of the monoid of all relations on a finite set (i.e. Boolean matrices). This is in fact the same question as the determination of the dimension of every evaluation of a simple correspondence functor. The method uses the theory of such functors developed in [BT2, BT3], as well as some new ingredients in the theory of finite lattices.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
