Autor:	Baur, Karin, Canakci, Ilke, Jacobsen, Karin M., Kulkarni, Maitreyee C., Todorov, Gordana
Rok vydání:	2020
Předmět:	Mathematics - Combinatorics Mathematics - Representation Theory 16G20 (Primary) 05E10 (Secondary)
Druh dokumentu:	Working Paper
Popis:	It is known that any infinite frieze comes from a triangulation of an annulus by Baur, Parsons and Tschabold. In this paper we show that each periodic infinite frieze determines a triangulation of an annulus in essentially a unique way. Since each triangulation of an annulus determines a pair of friezes, we study such pairs and show how they determine each other. We study associated module categories and determine the growth coefficient of the pair of friezes in terms of modules as well as their quiddity sequences. Comment: 21 pages, 16 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2007.09411 Zobrazit plný text záznamu View this record from Arxiv