Dual canonical bases and quantum cluster algebras
Quantum Algebra
2023-05-16 v3 Representation Theory
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.
Keywords
Cite
@article{arxiv.2003.13674,
title = {Dual canonical bases and quantum cluster algebras},
author = {Fan Qin},
journal= {arXiv preprint arXiv:2003.13674},
year = {2023}
}
Comments
75 pages. Minor corrections. Appendix A is added