Burau representation for n = 4

DOI10.1142/S0218216518400023zbMath1494.20046MaRDI QIDQ4634891

Paweł Traczyk, Anzor Beridze

Publication date: 12 April 2018

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

zbMATH Keywords

braidsBurau representation

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Knot theory (57K10)

Related Items (3)

Virtual and universal braid groups, their quotients and representations ⋮ Generalisations of Hecke algebras from loop braid groups ⋮ On the Burau representation of B4

Cites Work

• The Burau representation is not faithful for \(n=5\)
• The Burau representation is not faithful for \(n\geq 6\)
• A free subgroup in the image of the 4-strand Burau representation
• The Burau representation of the braid group 𝐵_{𝑛} is unfaithful for large 𝑛
• On a theorem of V. I. arnol'd

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