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arxiv: 1311.1141 · v2 · pith:2N42OLZLnew · submitted 2013-11-05 · 🧮 math.CO · math.QA

Noncommutative recursions and the Laurent phenomenon

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keywords laurentnoncommutativephenomenonconjecturedefinedexhibitfamilygeneralizes
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We exhibit a family of sequences of noncommutative variables, recursively defined using monic palindromic polynomials in $\mathbb Q[x]$, and show that each possesses the Laurent phenomenon. This generalizes a conjecture by Kontsevich.

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