On the injectivity of the Braid group in the Hecke algebra

DOI10.1017/S000497270001995XzbMath0996.20023WikidataQ122745779 ScholiaQ122745779MaRDI QIDQ2777724

Nanhua Xi, Gustav Isaac Lehrer

Publication date: 6 November 2002

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hecke algebrasbraid groupsCoxeter systemsBurau representationfaithful finite dimensional representations

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Ordinary representations and characters (20C15) Braid groups; Artin groups (20F36)

Related Items (3)

Krammer representations for complex braid groups. ⋮ On the generic Krammer representations. ⋮ On the residual nilpotence of pure Artin groups

Cites Work

• Cells in affine Weyl groups. II
• Hecke algebra representations of braid groups and link polynomials
• A note on words in braid monoids
• The Burau representation is not faithful for \(n=5\)
• The Burau representation is not faithful for \(n\geq 6\)
• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
• The Burau representation of the braid group 𝐵_{𝑛} is unfaithful for large 𝑛
• Braid groups are linear
• The braid group \(B_4\) is linear

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