English

Noncommutative recursions and the Laurent phenomenon

Combinatorics 2014-02-26 v2 Quantum Algebra

Abstract

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

Keywords

Cite

@article{arxiv.1311.1141,
  title  = {Noncommutative recursions and the Laurent phenomenon},
  author = {Matthew C. Russell},
  journal= {arXiv preprint arXiv:1311.1141},
  year   = {2014}
}
R2 v1 2026-06-22T02:01:38.341Z