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arXiv · 2412.08558

Low-dimensional indecomposable representations of the braid group $B_3$

Eric C. Rowell·Yuze Ruan
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Abstract

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.

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BibTeXRIS

Eric C. Rowell, Yuze Ruan. 2024-12-11. Low-dimensional indecomposable representations of the braid group $B_3$. https://arxiv.org/abs/2412.08558

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