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 |
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Article number | 105282 |
Journal | Journal of Combinatorial Theory. Series A |
Volume | 176 |
DOIs | |
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