On quadri-algebras
Rings and Algebras
2014-11-26 v2
Abstract
WWe describe the Koszul dual of the operad Quad of quadri-algebras, show the koszularity of Quad and give the formal series of Quad and its dual, which proves a conjecture due to Aguiar and Loday. A notion of quadri-bialgebra is also introduced, with applications to the Hopf algebras FQSym and WQSym.
Cite
@article{arxiv.1411.6501,
title = {On quadri-algebras},
author = {Loïc Foissy},
journal= {arXiv preprint arXiv:1411.6501},
year = {2014}
}
Comments
Withdrawn by the author, as an important number of results are already in arXiv:math/0609002