, Volume 142, Issue 3, pp 451-486

The braid group B4 is linear

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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.

Oblatum 15-VI-1999 & 24-II-2000¶Published online: 18 September 2000