A rigidity theorem for Moor-bialgebras
Quantum Algebra
2008-06-25 v2 Rings and Algebras
Abstract
We introduce the operad Moor, dual of the operad NAP and the notion of Moor-bialgebras. We warn the reader that the compatibility relation linking the Moor-operation with the Moor-cooperation is not distributive in the sense of Loday. Nevertheless, a rigidity theorem (\`a la Hopf-Borel) for the category of connected Moor-bialgebras is given. We show also that free permutative algebras can be equipped with a Moor-cooperation whose compatibility with the permutative product looks like the infinitesimal relation.
Cite
@article{arxiv.0804.0677,
title = {A rigidity theorem for Moor-bialgebras},
author = {Leroux Philippe},
journal= {arXiv preprint arXiv:0804.0677},
year = {2008}
}
Comments
V2. Radical change of the paper