A Multiplication Formula for the Modified Caldero–Chapoton Map
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DOI: 10.1007/s10485-018-9538-y
Abstract: AbstractA frieze in the modern sense is a map from the set of objects of a triangulated category $$\mathsf {C}$$C to some ring. A frieze X is characterised by the property that if $$\tau x\rightarrow… read more here.
Keywords: map; modified caldero; frieze; chapoton map ... See more keywords
Coxeter’s Frieze Patterns Arising from Dyck Paths
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DOI: 10.1007/s11587-021-00594-0
Abstract: Frieze patterns are defined by objects of a category of Dyck paths, to do that, it is introduced the notion of diamond of Dynkin type $${\mathbb {A}}_{n}$$ . Such diamonds constitute a tool to build… read more here.
Keywords: patterns arising; arising dyck; coxeter frieze; frieze patterns ... See more keywords
On Wild Frieze Patterns
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DOI: 10.1080/10586458.2016.1172526
Abstract: ABSTRACT In this article, among other things, we show: (1) There are periodic wild -frieze patterns whose entries are positive integers. (2) There are non-periodic -frieze patterns whose entries are positive integers. (3) There is… read more here.
Keywords: frieze patterns; entries positive; whose entries; wild frieze ... See more keywords