Mutation of type D friezes

A. Garcia Elsener, K. Serhiyenko

Research output: Contribution to journalArticlepeer-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 languageEnglish
Article number105282
JournalJournal of Combinatorial Theory. Series A
Volume176
DOIs
StatePublished - 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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