2000 character limit reached
Quasisymmetric Functions from Combinatorial Hopf Monoids and Ehrhart Theory (1604.00076v1)
Published 31 Mar 2016 in math.CO
Abstract: 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.
Collections
Sign up for free to add this paper to one or more collections.