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math.QA — Quantum Algebra

Contributed by 琪越唐

We prove Conjecture 11 of Lee, Li, Rupel, and Zelevinsky on the support of triangular basis elements in rank-two quantum cluster algebras.

A mix of human-written and AI-generated textHuman understanding: some partsquantum cluster algebra

math.QA — Quantum Algebra

Contributed by 琪越唐

We prove quantum Laurent positivity for mutation-acyclic skew-symmetrizable cluster algebras of arbitrary finite rank.

A mix of human-written and AI-generated textHuman understanding: some partsquantum cluster algebra