English

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

Representation Theory 2024-12-12 v1 Group Theory Quantum Algebra

Abstract

In this note we give a complete classification of all indecomposable yet reducible representations of B3B_3 for dimensions 22 and 33 over an algebraically closed field KK with characteristic 00, up to equivalence. We illustrate their utility with an example.

Keywords

Cite

@article{arxiv.2412.08558,
  title  = {Low-dimensional indecomposable representations of the braid group $B_3$},
  author = {Eric C. Rowell and Yuze Ruan},
  journal= {arXiv preprint arXiv:2412.08558},
  year   = {2024}
}

Comments

14 pages

R2 v1 2026-06-28T20:31:16.327Z