Relative braid group symmetries on $\imath$quantum groups of Kac-Moody type
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866917976718966784 |
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| author | Zhang, Weinan |
| author_facet | Zhang, Weinan |
| contents | Recently, relative braid group actions on $\imath$quantum groups of arbitrary finite types have been constructed by Wang and the author. In this paper, we extend that construction to $\imath$quantum groups of Kac-Moody type. We formulate root vectors for $\imath$quantum groups in both recursive forms and closed $\imath$divided power forms. We show that the relative braid group symmetries send root vectors to root vectors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_12860 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Relative braid group symmetries on $\imath$quantum groups of Kac-Moody type Zhang, Weinan Quantum Algebra Representation Theory Primary 17B37, 17B67 Recently, relative braid group actions on $\imath$quantum groups of arbitrary finite types have been constructed by Wang and the author. In this paper, we extend that construction to $\imath$quantum groups of Kac-Moody type. We formulate root vectors for $\imath$quantum groups in both recursive forms and closed $\imath$divided power forms. We show that the relative braid group symmetries send root vectors to root vectors. |
| title | Relative braid group symmetries on $\imath$quantum groups of Kac-Moody type |
| topic | Quantum Algebra Representation Theory Primary 17B37, 17B67 |
| url | https://arxiv.org/abs/2209.12860 |