Linear representations of the braid groups of some manifolds.

DOI10.1007/s10440-004-5584-6zbMath1106.20030OpenAlexW1995727275MaRDI QIDQ2386442

Valeriy G. Bardakov

Publication date: 23 August 2005

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-004-5584-6

zbMATH Keywords

braid groupslinear representations

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07)

Related Items (4)

ON AUTOMORPHISMS OF SURFACE BRAID GROUPS ⋮ ABELIAN AND METABELIAN QUOTIENT GROUPS OF SURFACE BRAID GROUPS ⋮ Braids, their Properties and Generalizations ⋮ Symplectic (-2)-spheres and the symplectomorphism group

Cites Work

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• Homological representations of the Hecke algebra
• Über Zopfgruppen und gleichsinnig verdrillte Verkettungen
• The Burau representation is not faithful for \(n=5\)
• The Burau representation is not faithful for \(n\geq 6\)
• The Burau representation of the braid group 𝐵_{𝑛} is unfaithful for large 𝑛
• Braid Groups of Compact 2-Manifolds with Elements of Finite Order
• The Word Problem and Consequences for the Braid Groups and Mapping Class Groups of the 2-Sphere
• Braid groups are linear
• Braid groups are linear
• The mapping class group of a genus two surface is linear

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