Shuffle quadri-algebra and concatenation
Combinatorics
2018-10-17 v2
Abstract
In this article, we study the shuffle quadri-algebra H. We prove the existence of some relations between quadri-algebra laws which constitute shuffle product, the concatenation product and the deconcatenation coproduct. We also show that the underlying shuffle algebra has two module-algebra structures on itself.
Cite
@article{arxiv.1707.03766,
title = {Shuffle quadri-algebra and concatenation},
author = {Mohamed Belhaj Mohamed and Dominique Manchon},
journal= {arXiv preprint arXiv:1707.03766},
year = {2018}
}
Comments
23 pages. Revised version, to appear in the proceedings of the CARMA conference, Luminy, June 26-30th 2017