Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatorics
By Sophie Morier-Genoud. 2015
121 citations recorded by the source corpus.
Frieze patterns of numbers, introduced in the early 1970s by Coxeter, are currently attracting much interest due to connections with the recent theory of cluster algebras. The present survey aims to review the original work of Coxeter and the new developments around the notion of frieze, focusing on the representation theoretic, geometric and combinatorial approaches.
Subfields: Discrete Mathematics and Combinatorics, Materials Chemistry, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/303932335a044f540eca0aea4b32358d8e897bb1
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In Discrete Mathematics and Combinatorics
In Materials Chemistry
In Statistical and Nonlinear Physics
Citations in the corpus
- Farey Boat: Continued Fractions and Triangulations, Modular Group and Polygon Dissections (2018, background): “Frieze patterns also play an important role in such areas as quiver representations, differential geometry, discrete integrable systems (for a survey; see [27]).”