Two remarks on decomposition numbers of standard modules for quantum affine $\mathfrak{sl}_2$
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866916036821909504 |
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| author | Fang, Xin Kus, Deniz Reineke, Markus |
| author_facet | Fang, Xin Kus, Deniz Reineke, Markus |
| contents | We use Nakajima's geometric approach to representations of quantum affine algebras and recent results on explicit descriptions of specific canonical basis elements, to derive closed positive formulas for certain decomposition numbers of representations of quantum affine $\mathfrak{sl}_2$. Moreover, we obtain a piecewise-linear closed formula for the $q$-characters of irreducible representations of quantum affine $\mathfrak{sl}_2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_22571 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Two remarks on decomposition numbers of standard modules for quantum affine $\mathfrak{sl}_2$ Fang, Xin Kus, Deniz Reineke, Markus Quantum Algebra Representation Theory We use Nakajima's geometric approach to representations of quantum affine algebras and recent results on explicit descriptions of specific canonical basis elements, to derive closed positive formulas for certain decomposition numbers of representations of quantum affine $\mathfrak{sl}_2$. Moreover, we obtain a piecewise-linear closed formula for the $q$-characters of irreducible representations of quantum affine $\mathfrak{sl}_2$. |
| title | Two remarks on decomposition numbers of standard modules for quantum affine $\mathfrak{sl}_2$ |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2605.22571 |