Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatorics

Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatorics
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DOI:
10.1112/blms/bdv070
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发表时间:
2015-12-01
影响因子:
0.9
通讯作者:
Morier-Genoud, Sophie
Morier-Genoud, Sophie
中科院分区:
数学3区
文献类型:
--
作者:
Morier-Genoud, Sophie

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Frieze模式的号码,介绍了在20世纪70年代初由Coxeter,目前吸引了很大的兴趣,由于与最近的理论集群代数。本综述旨在回顾考克斯特的原始工作和围绕frieze概念的新发展,重点是表示论,几何和组合方法。
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.