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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.10544 |
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| _version_ | 1866915573252751360 |
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| author | Milot, Jérôme |
| author_facet | Milot, Jérôme |
| contents | We prove that the standard Drinfeld-Jimbo coproducts for Yangians and quantum affine algebras factorize through their truncated quotients in the case of $\mathfrak{sl}_2(\mathbb{C})$. As an auxiliary result, we give formulas for the coproduct of the truncation series in both cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_10544 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Compatibility between truncation and coproducts for quantum affine algebra and Yangian of $\mathfrak{sl}_2(\mathbb{C})$ Milot, Jérôme Quantum Algebra We prove that the standard Drinfeld-Jimbo coproducts for Yangians and quantum affine algebras factorize through their truncated quotients in the case of $\mathfrak{sl}_2(\mathbb{C})$. As an auxiliary result, we give formulas for the coproduct of the truncation series in both cases. |
| title | Compatibility between truncation and coproducts for quantum affine algebra and Yangian of $\mathfrak{sl}_2(\mathbb{C})$ |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2506.10544 |