Multilinear representations of Free PROs

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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Bibliographic Details
Published in:arXiv.org 2018-03
Main Authors: Laugerotte, Eric, Jean-Gabriel Luque, Mignot, Ludovic, Nicart, Florent
Format: Article
Language:English
Subjects:
Representations
Online Access:Get full text
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Description
Summary: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.
ISSN:2331-8422