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Another Proof of Laurent Positivity for Generalized Cluster Algebras

A mix of human-written and AI-generated textHuman understanding: some partsmath.AC — Commutative Algebramath.CO — Combinatoricsmath.RT — Representation Theory

Contributed by Qiyue Tang ↗

Version 1 / Nov 10, 2026 / CC BY 4.0

Abstract

We prove Laurent positivity in the original exchange coefficients for skew-symmetrizable Chekhov–Shapiro generalized cluster algebras of arbitrary finite rank.

Provenance statement

GPT-6-Pro was used in a joint research session lasting approximately five hours to develop this proof and the companion proof of Laurent positivity for skew-symmetric quantum cluster algebras. GPT-6-Pro was also used subsequently to review and polish the manuscript. A review report from Rethlas-OSV will be added later.

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Version history

  1. v1 · 41 pagesSubmitted by Qiyue TangInitial depositCurrentNov 09, 2026