Mutation of type D friezes

A. Garcia Elsener; K. Serhiyenko

doi:10.1016/j.jcta.2020.105282

Mutation of type D friezes

A. Garcia Elsener, K. Serhiyenko

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	105282
Journal	Journal of Combinatorial Theory. Series A
Volume	176
DOIs	https://doi.org/10.1016/j.jcta.2020.105282
State	Published - Nov 2020

Bibliographical note

Funding Information:
A.G.E. was supported by the Austrian Science Fund Project Number P30549 , and she would also like to thank Department of Mathematics at UC Berkeley for inviting her for a two-week research visit, where this project was completed. K.S. acknowledges partial support from the National Science Foundation Postdoctoral Fellowship MSPRF-1502881 . The authors also thank the anonymous referees for their comments and suggestions on the article.

Publisher Copyright:
© 2020 Elsevier Inc.

Keywords

Cluster algebra
Frieze
Quiver mutation
Surface triangulation

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1016/j.jcta.2020.105282

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AB - 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.

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KW - Quiver mutation

KW - Surface triangulation

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JO - Journal of Combinatorial Theory. Series A

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Mutation of type D friezes

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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