Automorphisms of the generalized cluster complex

Authors

  • Matthieu Josuat-Vergès

DOI:

https://doi.org/10.63151/amjc.v4i.29

Keywords:

Cluster complex, Finite Coxeter group, Automorphism group, Dihedral group, Symmetry

Abstract

We exhibit a dihedral symmetry in the generalized cluster complex defined by Fomin and Reading. Together with diagram symmetries, they generate the automorphism group of the complex. A consequence is a simple explicit formula for the order of this automorphism group.

Downloads

Published

2025-04-07

Issue

Vol. 4 (2025)

Section

Articles

License

Copyright (c) 2025 Matthieu Josuat-Verg`es

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.