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Another proof of Laurent positivity for skew-symmetric quantum cluster algebras

A mix of human-written and AI-generated textHuman understanding: some partsmath.QA — Quantum Algebramath.RT — Representation Theory

Contributed by Qiyue Tang ↗

Version 1 / Nov 10, 2026 / CC BY 4.0

Abstract

We give another proof of Laurent positivity for skew-symmetric quantum cluster algebras.

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 positivity for generalized 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 · 35 pagesSubmitted by Qiyue TangInitial depositCurrentNov 09, 2026