Automorphisms of the generalized cluster complex
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.
Saved in:
| Main Author: | Matthieu Josuat-Vergès |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Journal of Combinatorics
2025-04-01
|
| Series: | The American Journal of Combinatorics |
| Subjects: | |
| Online Access: | https://ajcombinatorics.org/ojs/index.php/AmJC/article/view/29 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Subword Complexes and Nil-Hecke Moves
by: M. A. Gorsky
Published: (2013-12-01) -
On Automorphisms of a Distance-Regular Graph with Intersection Array {125,96,1;1,48,125}
by: V.V. Bitkina, et al.
Published: (2017-03-01) -
On the Affine Weyl group of type A˜n−1
by: Muhammad A. Albar
Published: (1987-01-01) -
On a subgroup of the affine Weyl
group C˜4
by: Muhammad A. Albar
Published: (2000-01-01) -
On a four-generator Coxeter group
by: Muhammad A. Albar
Published: (2000-01-01)