Dual canonical bases and quantum cluster algebras
arXiv:2003.13674
Abstract
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 quantum cluster monomials are contained in the dual canonical basis after rescaling.
arXiv comment75 pages. Minor corrections. Appendix A is added
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