Work

From Frieze Patterns to Cluster Categories

Year: 2023

Type: book-chapter

Abstract: Motivated by Conway and Coxeter’s combinatorial results concerning frieze patterns, we sketch an introduction to the theory of cluster algebras and cluster categories for acyclic quivers. The goal is to show how these more abstract theories provide a conceptual explanation for phenomena concerning friezes, such as integrality and periodicity.

Source: Cambridge University Press eBooks

DOI: 10.1017/9781009093750.005

Authors: David Jordan, Nadia Mazza, Sibylle Schroll

Institutions: University of Edinburgh, Lancaster University, University of Cologne

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: International Centre for Mathematical Sciences, London Mathematical Society, Division of Mathematical Sciences

OpenAlex ID: W3097352919

FWCI: 6.819

Cites: 101

Cited by: 2

Related to: 10