A faithfulness criterion for the Gassner representation of the pure braid group

DOI10.1090/S0002-9939-97-03827-6zbMath0868.20034MaRDI QIDQ4336577

Mohammad N. Abdulrahim

Publication date: 13 May 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

pure braid groupsBurau representationGassner representation

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36)

Related Items (8)

WADA'S REPRESENTATION IS OF BURAU TYPE ⋮ Coloured tangles and signatures ⋮ Monodromy of cyclic coverings of the projective line ⋮ IMAGES OF QUANTUM REPRESENTATIONS OF MAPPING CLASS GROUPS AND DUPONT–GUICHARDET–WIGNER QUASI-HOMOMORPHISMS ⋮ Low-dimensional unitary representations of 𝐵₃ ⋮ Image of the Burau representation at \(d\)-th roots of unity. ⋮ ON THE IMAGE OF THE LAWRENCE–KRAMMER REPRESENTATION ⋮ Burau Maps and Twisted Alexander Polynomials

Cites Work

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• The Burau representation is not faithful for \(n\geq 6\)
• On the Linear Representation of Braid Groups
• The Burau Representation is Unitary
• Braid Group Representations of Low Degree

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