Arithmetics of 2-friezes
Sophie Morier-Genoud
Institut de Mathématiques de Jussieu, UMR 7586, Université Pierre et Marie Curie, 4 place Jussieu, case 247, 75252, Paris Cedex 05, France
DOI: 10.1007/s10801-012-0348-2
Abstract
We consider the variant of Coxeter-Conway frieze patterns called 2-frieze. We prove that there exist infinitely many closed integral 2-friezes (i.e. containing only positive integers) provided the width of the array is bigger than 4. We introduce operations on the integral 2-friezes generating bigger or smaller closed integral 2-friezes.
Pages: 515–539
Keywords: frieze; Coxeter-Conway frieze; cluster algebra; Laurent phenomenon
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References
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