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math.QA2020★ 4 cited
An Analog of Leclerc's Conjecture for Bases of Quantum Cluster Algebras
Fan Qin
Dual canonical bases are expected to satisfy a certain (double) triangularity property by Leclerc's conjecture. We propose an analogous conjecture for common triangular bases of qu…
math.QA2020★ 8 cited
Dual canonical bases and quantum cluster algebras
Fan Qin
Given any quantum cluster algebra arising from a quantum unipotent subgroup of symmetrizable Kac-Moody type, we verify the quantization conjecture in full generality that the quant…