A new proof of the faithfulness of the Temperley–Lieb representation of B3

DOI10.1515/dema-2013-0310zbMath1223.57010OpenAlexW918568299MaRDI QIDQ3018896

Adam Piwocki

Publication date: 27 July 2011

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2013-0310

zbMATH Keywords

Jones polynomialKauffman bracket3-braidbraid reduced formTemperley-Lieb representation

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Braid groups; Artin groups (20F36)

Cites Work

• A fast method for comparing braids
• State models and the Jones polynomial
• The Burau representation is not faithful for \(n=5\)
• The Burau representation is not faithful for \(n\geq 6\)
• A polynomial invariant for knots via von Neumann algebras
• The Burau representation of the braid group 𝐵_{𝑛} is unfaithful for large 𝑛
• Braid Groups and Left Distributive Operations
• DOES THE JONES POLYNOMIAL DETECT THE UNKNOT?

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