Frieze patterns as root posets and affine triangulations
classification
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keywords
friezepatternsaffineposetsrootarrangementbuildclassify
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The entries of frieze patterns may be interpreted as coordinates of roots of a finite Weyl groupoid of rank two. We prove the existence of maximal elements in their root posets and classify those frieze patterns which can be used to build an affine simplicial arrangement.
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