The algebra of Boolean matrices, correspondence functors, and simplicity

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 previous papers, as well as some new ingredients in the theory of finite lattices.


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Nov 19 2018
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 Record created 2018-11-19, last modified 2019-03-17

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