Cluster Monomials are Dual Canonical
Quantum Algebra
2021-12-09 v1 Representation Theory
Abstract
Kang, Kashiwara, Kim and Oh have proved that cluster monomials lie in the dual canonical basis, under a symmetric type assumption. This involves constructing a monoidal categorification of a quantum cluster algebra using representations of KLR algebras. We use a folding technique to generalise their results to all Lie types.
Cite
@article{arxiv.2112.04109,
title = {Cluster Monomials are Dual Canonical},
author = {Peter J. McNamara},
journal= {arXiv preprint arXiv:2112.04109},
year = {2021}
}
Comments
29pp. Comments welcome