Boundary transfer matrices arising from quantum symmetric pairs
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914105438240768 |
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| author | Appel, Andrea Vlaar, Bart |
| author_facet | Appel, Andrea Vlaar, Bart |
| contents | We introduce a universal framework for boundary transfer matrices, inspired by Sklyanin's two-row transfer matrix approach for quantum integrable systems with boundary conditions. The main examples arise from quantum symmetric pairs of finite and affine type. As a special case we recover a construction by Kolb in finite type. We review recent work on universal solutions to the reflection equation and highlight several open problems in this field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21654 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundary transfer matrices arising from quantum symmetric pairs Appel, Andrea Vlaar, Bart Representation Theory Mathematical Physics 81R50, 16T25, 17B37, 81R12 We introduce a universal framework for boundary transfer matrices, inspired by Sklyanin's two-row transfer matrix approach for quantum integrable systems with boundary conditions. The main examples arise from quantum symmetric pairs of finite and affine type. As a special case we recover a construction by Kolb in finite type. We review recent work on universal solutions to the reflection equation and highlight several open problems in this field. |
| title | Boundary transfer matrices arising from quantum symmetric pairs |
| topic | Representation Theory Mathematical Physics 81R50, 16T25, 17B37, 81R12 |
| url | https://arxiv.org/abs/2410.21654 |