%0 Journal Article
%T Hopf Algebras of Heap Ordered Trees and Permutations
%A R. L. Grossman
%A R. G. Larson
%J Mathematics
%D 2007
%I arXiv
%X 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.
%U http://arxiv.org/abs/0706.1327v3