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arXiv · 2603.14376

Maximal green sequences for quantum and Poisson CGL extensions

Milen Yakimov
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Abstract

We prove that the quantum and classical cluster algebras for all members of the axiomatically defined classes of symmetric quantum and Poisson Cauchon-Goodearl-Letzter extensions possess maximal green sequences in the sense of Keller. Previously, maximal green sequences were constructed for explicit families of cluster algebras; many of those can be recovered from the general result for CGL extensions.

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Milen Yakimov. 2026-03-15. Maximal green sequences for quantum and Poisson CGL extensions. https://arxiv.org/abs/2603.14376

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