Low-dimensional indecomposable representations of the braid group $B_3$
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910740535836672 |
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| author | Rowell, Eric C. Ruan, Yuze |
| author_facet | Rowell, Eric C. Ruan, Yuze |
| contents | In this note we give a complete classification of all indecomposable yet reducible representations of $B_3$ for dimensions $2$ and $3$ over an algebraically closed field $K$ with characteristic $0$, up to equivalence. We illustrate their utility with an example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08558 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Low-dimensional indecomposable representations of the braid group $B_3$ Rowell, Eric C. Ruan, Yuze Representation Theory Group Theory Quantum Algebra 20F36 In this note we give a complete classification of all indecomposable yet reducible representations of $B_3$ for dimensions $2$ and $3$ over an algebraically closed field $K$ with characteristic $0$, up to equivalence. We illustrate their utility with an example. |
| title | Low-dimensional indecomposable representations of the braid group $B_3$ |
| topic | Representation Theory Group Theory Quantum Algebra 20F36 |
| url | https://arxiv.org/abs/2412.08558 |