From frieze patterns to cluster categories
arXiv:2010.14302 · doi:10.1017/9781009093750.005
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, principally integrality and periodicity.
arXiv comment31 pages. Notes for lecture series at LMS Autumn Algebra School, October 2020; final version, published in LMS Lecture Notes (Modern Trends in Algebra and Representation Theory)
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