Scindement d'associativite et algebres de Hopf
Quantum Algebra
2007-05-23 v1 K-Theory and Homology
Abstract
We show that some associative algebras whose product splits up into the sum of several operations and are free, in a certain sense, with respect to these operations, admit a Hopf algebra structure. We show that the operad of dendriform algebras play a crucial role in this context, and we give numerous examples.
Cite
@article{arxiv.math/0402084,
title = {Scindement d'associativite et algebres de Hopf},
author = {Jean-Louis Loday},
journal= {arXiv preprint arXiv:math/0402084},
year = {2007}
}
Comments
In french