Lyndon bases of split $\imath$quantum groups
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915619512778752 |
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| author | Jian, Run-Qiang Luo, Li Wu, Xianfa |
| author_facet | Jian, Run-Qiang Luo, Li Wu, Xianfa |
| contents | We introduce and study Lyndon bases of split $\imath$quantum groups $\mathbf{U}^\imath(\mathfrak{g})$. A relationship between the Lyndon bases and PBW-type bases was provided. As an application, we establish the existence of canonical bases for the type A split $\imath$quantum groups $\mathbf{U}^\imath(\mathfrak{sl}_n)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20958 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lyndon bases of split $\imath$quantum groups Jian, Run-Qiang Luo, Li Wu, Xianfa Quantum Algebra Representation Theory 16T20, 17B37 We introduce and study Lyndon bases of split $\imath$quantum groups $\mathbf{U}^\imath(\mathfrak{g})$. A relationship between the Lyndon bases and PBW-type bases was provided. As an application, we establish the existence of canonical bases for the type A split $\imath$quantum groups $\mathbf{U}^\imath(\mathfrak{sl}_n)$. |
| title | Lyndon bases of split $\imath$quantum groups |
| topic | Quantum Algebra Representation Theory 16T20, 17B37 |
| url | https://arxiv.org/abs/2502.20958 |