Quasisymmetric Functions from Combinatorial Hopf Monoids and Ehrhart\n Theory

2016/03/31 by Jacob White, White, Jacob
Chemistry · Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Molecular spectroscopy and chirality

paper · pdf · doi:10.48550/arxiv.1604.00076

openalex publication_date 2016/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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