SLk-TILINGS OF THE PLANE

被引：28

作者：

Bergeron, Francois ^{[1
]}

Reutenauer, Christophe ^{[1
]}

机构：

[1] Univ Quebec, Dept Math, Montreal, PQ H3C 3P8, Canada

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2010年 / 54卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

MODELS;

D O I：

10.1215/ijm/1299679749

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study properties of (bi-infinite) arrays having all adjacent k x k adjacent minors equal to one. If we further add the condition that all adjacent (k - 1) x (k - 1) minors be nonzero, then these arrays are necessarily of rank k. It follows that we can explicit construct all of them. Several nice properties are made apparent. In particular, we revisit, with this perspective, the notion of frieze patterns of Coxeter. This shed new light on their properties. A connexion is also established with the notion of T-systems of Statistical Physics.

引用

页码：263 / 300

页数：38

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