The braid group B4 is linear
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- Krammer, D. Invent. math. (2000) 142: 451. doi:10.1007/s002220000088
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We study a linear representation ρ:Bn? GLm(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.