Mutation of type D friezes

In this article we study mutation of friezes of type D. We provide a combinatorial formula for the entries in a frieze after mutation. The two main ingredients in the proof include a certain transformation of a type D frieze into a sub-pattern of a frieze of type A and the mutation formula for type...

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Bibliographic Details
Published in:Journal of combinatorial theory. Series A 2020-11, Vol.176, p.105282, Article 105282
Main Authors: Garcia Elsener, A., Serhiyenko, K.
Format: Article
Language:English
Subjects:
Cluster algebra
Frieze
Quiver mutation
Surface triangulation
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Summary:In this article we study mutation of friezes of type D. We provide a combinatorial formula for the entries in a frieze after mutation. The two main ingredients in the proof include a certain transformation of a type D frieze into a sub-pattern of a frieze of type A and the mutation formula for type A friezes recently found by Baur et al.
ISSN:0097-3165
1096-0899
DOI:10.1016/j.jcta.2020.105282