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The braid group B4 is linear

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Inventiones mathematicae Aims and scope

Abstract.

We study a linear representation ρ:B n ? GL m (Z[q ±1,t ±1]) with m=n(n-1)/2. We will show that for n=4, this representation is faithful. We prove a relation with the new Charney length function. We formulate a conjecture implying that ρ is faithful for all n.

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Authors and Affiliations

  1. Mathematical Institute, University of Basle, Rheinsprung 21, 4051 Basle, Switzerland¶(e-mail: krammer@math.unibas.ch), Switzerland

    Daan Krammer

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  1. Daan Krammer
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Oblatum 15-VI-1999 & 24-II-2000¶Published online: 18 September 2000

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Krammer, D. The braid group B4 is linear. Invent. math. 142, 451–486 (2000). https://doi.org/10.1007/s002220000088

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  • DOI: https://doi.org/10.1007/s002220000088

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