Low-dimensional indecomposable representations of the braid group B₃

2024/12/11 by Eric C. Rowell, Rowell, Eric C., Yuze Ruan +1
Mathematics · #Geometric and Algebraic Topology #Advanced Algebra and Geometry #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.2412.08558

Abstract

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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