Hopf Algebras of Heap Ordered Trees and Permutations

2007/06/09 by Robert L. Grossman, Grossman, R. L., Richard G. Larson +1 · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Graph theory and applications

paper · pdf · doi:10.48550/arxiv.0706.1327

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.

Citations

• Commutative Hopf algebras of permutations and trees

Cited by

• When are Hopf algebras determined by integer sequences?

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