iCanonical basis arising from quasi-split rank one iquantum group
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910000672145408 |
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| author | Chen, Ziming |
| author_facet | Chen, Ziming |
| contents | 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 $\mathfrak{sl}_3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_13482 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | iCanonical basis arising from quasi-split rank one iquantum group Chen, Ziming Quantum Algebra Representation Theory 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 $\mathfrak{sl}_3$. |
| title | iCanonical basis arising from quasi-split rank one iquantum group |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2601.13482 |