DOAJ Open Access 2020

Quasisymmetric functions from combinatorial Hopf monoids and Ehrhart Theory

Jacob White

Lihat Sumber DOI

Abstrak

We investigate quasisymmetric functions coming from combinatorial Hopf monoids. We show that these invariants arise naturally in Ehrhart theory, and that some of their specializations are Hilbert functions for relative simplicial complexes. This class of complexes, called forbidden composition complexes, also forms a Hopf monoid, thus demonstrating a link between Hopf algebras, Ehrhart theory, and commutative algebra. We also study various specializations of quasisymmetric functions.

Topik & Kata Kunci

Mathematics

Penulis (1)

Jacob White

Format Sitasi

APA MLA BibTeX

White, J. (2020). Quasisymmetric functions from combinatorial Hopf monoids and Ehrhart Theory. https://doi.org/10.46298/dmtcs.6334

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6334

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6334
Akses: Open Access ✓