Noncommutative recursions and the Laurent phenomenon

Abstract

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.

References in corpus (2)

• Proof of the Kontsevich Non-Commutative Cluster Positivity Conjecture
• Non-commutative Laurent phenomenon for two variables