Hopf Algebras of Heap Ordered Trees and Permutations

Details Hopf Algebras of Heap Ordered Trees and Permutations Hopf Algebras of Heap Ordered Trees and Permutations

2007-06-09

arxiv.org/abs/0706.1327v3

Mathematics

Rings and Algebras

10 pages LaTeX, minor revision

Scientific paper

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.

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