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.

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Published

2025-04-07

Issue

Section

Articles