Work

Automorphisms of the generalized cluster complex

Year: 2025

Type: article

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.

Source: American Journal of Combinatorics

DOI: 10.63151/amjc.v4i.29

Author: Matthieu Josuat-Vergès

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Agence Nationale de la Recherche

Awards: G3010527862, Enumerative combinative: interactions with algebra, number theory and physics

OpenAlex ID: W4409215361

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