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Proof of a positivity conjecture of M. Kontsevich on non-commutative cluster variables

by: Kyungyong Lee, Ralf Schiffler
(22 Sep 2011)  Key: citeulike:11354923

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Abstract

We prove a conjecture of Kontsevich, which asserts that the iterations of the noncommutative rational map $F_r:(x,y)-->(xyx^-1,(1+y^r)x^-1)$ are given by noncommutative Laurent polynomials with nonnegative integer coefficients.


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