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research article
The algebra of Boolean matrices, correspondence functors, and simplicity
Bouc, Serge
•
Thévenaz, Jacques
January 1, 2020
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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Correspondences-simplicity-final.pdf
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Publisher's version
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openaccess
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481.51 KB
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Adobe PDF
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074dc7b65a7cded71f6fbaade8a50692
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Correspondences-simplicity-3.pdf
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openaccess
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448.2 KB
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Adobe PDF
Checksum (MD5)
2268da0246f31b790028d705437865fe