Multilinear representations of Free PROs
Representation Theory
2018-03-02 v1 Combinatorics
Category Theory
Abstract
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.
Cite
@article{arxiv.1803.00228,
title = {Multilinear representations of Free PROs},
author = {Eric Laugerotte and Jean-Gabriel Luque and Ludovic Mignot and Florent Nicart},
journal= {arXiv preprint arXiv:1803.00228},
year = {2018}
}
Comments
39 pages