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Multilinear representations of Free PROs
Eric Laugerotte, Jean-Gabriel Luque, Ludovic Mignot, Florent Nic · 2018-03-01 · via math.CO updates on arXiv.org

We describe a structure of PRO on hypermatrices. This structure allows us to define multilinear representations of PROs and in particular of free Pros. As an example of applications, we investigate the relations of the representations of Pros with the theory of automata.