Hopf Algebras of Heap Ordered Trees and Permutations
Rings and Algebras
2007-11-14 v3
Abstract
It is known that there is a Hopf algebra structure on the vector space with basis all heap-ordered trees. We give a new bialgebra structure on the space with basis all permutations and show that there is a direct bialgebra isomorphism between the Hopf algebra of heap-ordered trees and the bialgebra of permutations.
Cite
@article{arxiv.0706.1327,
title = {Hopf Algebras of Heap Ordered Trees and Permutations},
author = {R. L. Grossman and R. G. Larson},
journal= {arXiv preprint arXiv:0706.1327},
year = {2007}
}