Infinite friezes of affine type D

In this article, we study infinite friezes arising from cluster categories of affine type \(D\) and determine the growth coefficients for these friezes. We prove that for each affine type \(D\), the friezes given by the non-homogeneous tubes all have the same growth behavior. Mathematics Subject Classifications: 05E10, 16G20, 16G70, 13F60 Keywords: Friezes, cluster algebras, cluster character map, tame algebras

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Journal
Combinatorial Theory
Published
2026-08-20
DOI
https://doi.org/10.5070/c6.68696
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00

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article

Infinite friezes of affine type D

Karin Baur, Emily Gunawan, Emine Yıldırım, Gordana Todorov et al.
Combinatorial Theory
Algebraic structures and combinatorial models
article

Infinite friezes of affine type D

Karin Baur, Emily Gunawan, Emine Yıldırım, Gordana Todorov, Léa Bittmann
article en

Abstract

In this article, we study infinite friezes arising from cluster categories of affine type \(D\) and determine the growth coefficients for these friezes. We prove that for each affine type \(D\), the friezes given by the non-homogeneous tubes all have the same growth behavior. Mathematics Subject Classifications: 05E10, 16G20, 16G70, 13F60 Keywords: Friezes, cluster algebras, cluster character map, tame algebras

Combinatorial TheoryVol. 6(2)
Université de Strasbourg (FR)
European Commission, Engineering and Physical Sciences Research Council, Division of Mathematical Sciences
Openalex Percentile: Top 94%
Algebraic structures and combinatorial models
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