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arXiv · 2112.04109

Cluster Monomials are Dual Canonical

Peter J. McNamara
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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.

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Peter J. McNamara. 2021-12-08. Cluster Monomials are Dual Canonical. https://arxiv.org/abs/2112.04109

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