Hopf algebras of parking functions and decorated planar trees
From MaRDI portal
Publication:2104904
DOI10.1016/j.aam.2022.102436OpenAlexW3201049436MaRDI QIDQ2104904
Nantel Bergeron, Yannic Vargas, Shu Xiao Li, Rafael S. González D'León, C. Y. Amy Pang
Publication date: 8 December 2022
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.05434
Trees (05C05) Symmetric functions and generalizations (05E05) Connections of Hopf algebras with combinatorics (16T30)
Related Items (2)
Tridendriform structures ⋮ Powersum bases in quasisymmetric functions and quasisymmetric functions in non-commuting variables
Cites Work
- Unnamed Item
- Unnamed Item
- On the free Lie algebra with multiple brackets
- Free and cofree Hopf algebras.
- Structure of the Malvenuto-Reutenauer Hopf algebra of permutations
- Bidendriform bialgebras, trees, and free quasi-symmetric functions.
- Primitive elements in the matroid-minor Hopf algebra
- Stirling polynomials
- Hopf algebra of the planar binary trees
- Permutation lattices revisited
- The Hopf algebras of decorated rooted trees. I
- Order structure on the algebra of permutations and of planar binary trees
- Duality between quasi-symmetric functions and the Solomon descent algebra
- Cofree compositions of coalgebras
- Primitive elements of the Hopf algebras of tableaux
- Hopf algebras of \(m\)-permutations, \((m + 1)\)-ary trees, and \(m\)-parking functions
- Signature Catalan combinatorics
- Structure of the Loday-Ronco Hopf algebra of trees.
- Higher trivariate diagonal harmonics via generalized Tamari posets
- Free Hopf algebras generated by coalgebras
- Hopf algebras and dendriform structures arising from parking functions
- THE HOPF ALGEBRAS OF SYMMETRIC FUNCTIONS AND QUASI-SYMMETRIC FUNCTIONS IN NON-COMMUTATIVE VARIABLES ARE FREE AND CO-FREE
- Permutrees
This page was built for publication: Hopf algebras of parking functions and decorated planar trees
