Friezes of type D-tilde

2014/05/03 by Magnani Kodjo Essonana, Essonana, Magnani Kodjo
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1405.1023

openalex publication_date 2014/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we establish a relation between the values of a frieze of type D-tile and some values of an SL2-tiling t associated with a particular quiver of type A-tilde . This relation allows us to compute, independently of each other, all the cluster variables in the cluster algebra associated with a quiver Q of type D-tilde.

Citations

• The combinatorics of frieze patterns and Markoff numbers

Related

• Friezes of type D
• A and D type cluster algebras: Triangulated surfaces and friezes
• Friezes and a construction of the euclidean cluster variables
• Friezes, Strings and Cluster Variables
• Cluster Variables and Perfect Matchings of Subgraphs of the dP₃ Lattice