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In this note we give a complete classification of all indecomposable yet reducible representations of B3 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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Low-dimensional indecomposable representations of the braid group B3

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  • 发表日期：

    2026年

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  • Eric C. Rowell,
  • Yuze Ruan

摘要

In this note we give a complete classification of all indecomposable yet reducible representations of B3 for dimensions 2 and 3 over an algebraically closed field K with characteristic 0, up to equivalence. We illustrate their utility with an example.