DOAJ Open Access 2013

Lattice of combinatorial Hopf algebras: binary trees with multiplicities

Jean-Baptiste Priez

Lihat Sumber DOI

Abstrak

In a first part, we formalize the construction of combinatorial Hopf algebras from plactic-like monoids using polynomial realizations. Thank to this construction we reveal a lattice structure on those combinatorial Hopf algebras. As an application, we construct a new combinatorial Hopf algebra on binary trees with multiplicities and use it to prove a hook length formula for those trees.

Topik & Kata Kunci

Mathematics

Penulis (1)

Jean-Baptiste Priez

Format Sitasi

APA MLA BibTeX

Priez, J. (2013). Lattice of combinatorial Hopf algebras: binary trees with multiplicities. https://doi.org/10.46298/dmtcs.2372

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2372

Informasi Jurnal

Tahun Terbit: 2013
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2372
Akses: Open Access ✓