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Dual canonical bases and quantum cluster algebras
Published 30 Mar 2020 in math.QA and math.RT | (2003.13674v3)
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.
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