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.
|Journal||Journal of Combinatorial Theory. Series A|
|State||Published - Nov 2020|
Bibliographical noteFunding 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.
© 2020 Elsevier Inc.
- Cluster algebra
- Quiver mutation
- Surface triangulation
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics