Hopf Algebras of Heap Ordered Trees and Permutations

DOI10.1080/00927870802248662zbMath1161.16029arXiv0706.1327OpenAlexW2050108736MaRDI QIDQ3619562

Robert L. Grossman, Richard Gustavus Larson

Publication date: 8 April 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1327

zbMATH Keywords

permutationsHopf algebrasbialgebrasrooted labeled trees

Mathematics Subject Classification ID

Related Items (3)

Hopf algebras on planar trees and permutations ⋮ Polynomial realizations of some combinatorial Hopf algebras ⋮ The monomial basis and the \(Q\)-basis of the Hopf algebra of parking functions.

Cites Work

• Hopf-algebraic structure of families of trees
• A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
• Duality between quasi-symmetric functions and the Solomon descent algebra
• Cocommutative Hopf algebras of permutations and trees.

This page was built for publication: Hopf Algebras of Heap Ordered Trees and Permutations