Bicharacter twists of quantum groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912537937707008 |
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| author | Martin, Ian Tsymbaliuk, Alexander |
| author_facet | Martin, Ian Tsymbaliuk, Alexander |
| contents | We apply the general construction of a twist of bigraded Hopf algebras by skew bicharacters to obtain two-parameter quantum groups in the Drinfeld-Jimbo, new Drinfeld (for affine types), and FRT (for both finite and affine) presentations from their standard one-parameter versions. This yields new elementary proofs of the fundamental results on two-parameter quantum groups that appeared in the literature over the last two decades, and also leads to natural generalizations in the super and multiparameter cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_10882 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bicharacter twists of quantum groups Martin, Ian Tsymbaliuk, Alexander Representation Theory High Energy Physics - Theory Mathematical Physics Quantum Algebra Exactly Solvable and Integrable Systems We apply the general construction of a twist of bigraded Hopf algebras by skew bicharacters to obtain two-parameter quantum groups in the Drinfeld-Jimbo, new Drinfeld (for affine types), and FRT (for both finite and affine) presentations from their standard one-parameter versions. This yields new elementary proofs of the fundamental results on two-parameter quantum groups that appeared in the literature over the last two decades, and also leads to natural generalizations in the super and multiparameter cases. |
| title | Bicharacter twists of quantum groups |
| topic | Representation Theory High Energy Physics - Theory Mathematical Physics Quantum Algebra Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2508.10882 |