Braided coproduct, antipode and adjoint action for $U_q(sl_2)$
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916199418298368 |
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| author | Pandžić, Pavle Somberg, Petr |
| author_facet | Pandžić, Pavle Somberg, Petr |
| contents | Motivated by our attempts to construct an analogue of the Dirac operator in the setting of $U_q(\mathfrak{sl}_n)$, we write down explicitly the braided coproduct, antipode, and adjoint action for quantum algebra $U_q(\mathfrak{sl}_2)$. The braided adjoint action is seen to coincide with the ordinary quantum adjoint action, which also follows from the general results of S. Majid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06871 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Braided coproduct, antipode and adjoint action for $U_q(sl_2)$ Pandžić, Pavle Somberg, Petr Quantum Algebra Rings and Algebras Representation Theory Motivated by our attempts to construct an analogue of the Dirac operator in the setting of $U_q(\mathfrak{sl}_n)$, we write down explicitly the braided coproduct, antipode, and adjoint action for quantum algebra $U_q(\mathfrak{sl}_2)$. The braided adjoint action is seen to coincide with the ordinary quantum adjoint action, which also follows from the general results of S. Majid. |
| title | Braided coproduct, antipode and adjoint action for $U_q(sl_2)$ |
| topic | Quantum Algebra Rings and Algebras Representation Theory |
| url | https://arxiv.org/abs/2404.06871 |