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arXiv · 2601.13482

iCanonical basis arising from quasi-split rank one iquantum group

Ziming Chen
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Abstract

We compute icanonical basis of the quasi-split rank one modified iquantum group, by obtaining explicit transition matrices among the icanonical basis, monomial basis, and standardized canonical basis; all these bases can be naturally categorified. These transition matrices follow from their counterparts computed in this paper among the icanonical basis, monomial basis, and canonical basis on simple finite-dimensional modules of quantum $\mathfrak{sl}_3$.

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Ziming Chen. 2026-01-20. iCanonical basis arising from quasi-split rank one iquantum group. https://arxiv.org/abs/2601.13482

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