Multilinear representations of free pros

Éric Laugerotte, Jean-Gabriel Luque, Ludovic Mignot, Florent Nicart · Linear and Multilinear Algebra · 2019

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.

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