Solutions of the braid equation and orders
Quantum Algebra
2017-01-10 v1
Abstract
We introduce the notion of a non-degenerate solution of the braid equation on the incidence coalgebra of a locally finite order. Each one of these solutions induce by restriction a non-degenerate set theoretic solution over the underlying set. So, it makes sense to ask if a non-degenerate set theoretic solution on the underlying set of a locally finite order extends to a non-degenerate solution on its incidence coalgebra. In this paper we begin the study of this problem.
Cite
@article{arxiv.1701.01752,
title = {Solutions of the braid equation and orders},
author = {Jorge Alberto Guccione and Juan José Guccione and Christian Valqui},
journal= {arXiv preprint arXiv:1701.01752},
year = {2017}
}
Comments
29 pages