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arXiv · 2404.06945

Automorphisms of the generalized cluster complex

Matthieu Josuat-Vergès
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Abstract

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

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Matthieu Josuat-Vergès. 2024-04-10. Automorphisms of the generalized cluster complex. https://arxiv.org/abs/2404.06945

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