Infinite friezes of affine type D
Karin Baur, L\'ea Bittmann, Emily Gunawan, Gordana Todorov, Emine, Y{\i}ld{\i}r{\i}m
TL;DR
This paper investigates infinite friezes from cluster categories of affine type D, analyzing their growth behavior and establishing uniformity across friezes from tubes.
Contribution
It characterizes the growth coefficients of infinite friezes in affine type D and shows their consistent behavior across different tubes.
Findings
All friezes from tubes in affine type D share the same growth behavior.
The paper determines explicit growth coefficients for these friezes.
It links the structure of cluster categories to the properties of infinite friezes.
Abstract
In this article, we study infinite friezes arising from cluster categories of affine type and determine the growth coefficients for these friezes. We prove that for each affine type , the friezes given by the tubes all have the same growth behavior.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topology and Set Theory · Advanced Topics in Algebra