The Chromatic Quasisymmetric Class Function of a Digraph

Authors

Jacob A. White, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

10-8-2021

Abstract

We introduce a quasisymmetric class function associated with a group acting on a double poset or on a directed graph. The latter is a generalization of the chromatic quasisymmetric function of a digraph introduced by Ellzey, while the former is a generalization of a quasisymmetric function introduced by Grinberg. We prove representation-theoretic analogues of classical and recent results, including F-positivity, and combinatorial reciprocity theorems. We deduce results for orbital quasisymmetric functions, and study a generalization of the notion of strongly flawless sequences.

Comments

This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s00026-021-00556-1

Recommended Citation

White, J. A. (2021). The Chromatic Quasisymmetric Class Function of a Digraph. Annals of Combinatorics, 25(4), 961-993.

Publication Title

Annals of Combinatorics

DOI

10.1007/s00026-021-00556-1

ORCID

https://orcid.org/ 0000-0002-2589-1087