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The quantum cluster structure conjecture for bosonic extension subalgebras
Quantum cluster structure conjecture. The algebra $\widehat{\mathcal{A}}(b)$ is a quantum cluster algebra with initial seed $\mathbf{t}_{\mathbf{i}}$ , and its cluster monomials are…
Conjecturesolvedbosonic-extensions quantum-cluster-algebras quantum-groupsarXiv posted 2 days ago
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Kashiwara–Kim–Oh–Park's cluster structure conjecture for bosonic extension subalgebras
Kashiwara–Kim–Oh–Park's conjecture. The algebra $\widehat{\mathcal{A}}(b)$ admits a cluster structure, and its cluster monomials are contained in the global basis.
Conjecturesolvedbosonic-extensions cluster-algebras quantum-groupsarXiv posted 2 days ago

The quantum cluster structure conjecture for bosonic extension subalgebras