scientific article; zbMATH DE number 2065289
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Publication:4459918
zbMath1061.20034arXivmath/0204057MaRDI QIDQ4459918
Publication date: 18 May 2004
Full work available at URL: https://arxiv.org/abs/math/0204057
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Temperley-Lieb algebrasbraid groupslinear representationssurfacesLawrence-Krammer representationactions on homology modules
Hecke algebras and their representations (20C08) Braid groups; Artin groups (20F36) Homological methods in group theory (20J05)
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Material coherence from trajectories via Burau eigenanalysis of braids ⋮ Braid Groups and Euclidean Simplices ⋮ The Lawrence-Krammer-Bigelow representations of the braid groups via \(U_q(\mathfrak{sl}_2)\). ⋮ A new relationship between the dilatation of pseudo-Anosov braids and fixed point theory ⋮ Local systems on configuration spaces, KZ connections and conformal blocks ⋮ Homological and monodromy representations of framed braid groups ⋮ Parameters for which the Lawrence-Krammer representation is reducible. ⋮ Irreducibility of the Lawrence-Krammer representation of the BMW algebra of type \(A_{n-1}\). ⋮ Braid group representations from a deformation of the harmonic oscillator algebra ⋮ The Long-Moody construction and polynomial functors ⋮ Lawrence-Krammer-Bigelow representations and dual Garside length of braids.
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