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arxiv: 1801.08203 · v1 · pith:7MSYN7NHnew · submitted 2018-01-24 · 🧮 math.GT · math.GN

Classification of the Discrete Real Specializations of the Burau Representation of B₃

classification 🧮 math.GT math.GN
keywords burauclassificationrepresentationspecializationsunfaithfulactionanalyzingdiscrete
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This classification is found by analyzing the action of a normal subgroup of $B_3$ as hyperbolic isometries. This paper gives an example of an unfaithful specialization of the Burau representation on $B_4$ that is faithful when restricted to $B_3$, as well as examples of unfaithful specializations of $B_3$.

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