Braid groups are linear (Q5890174)

\textit{D. Krammer} [Invent. Math. 142, No. 3, 451-486 (2000; see the review Zbl 0988.20023 below)] proved that a representation of the braid groups \(B_n\) is faithful in the case \(n=4\). The representation Krammer used is essentially the same as one used by \textit{R. J. Lawrence} [Commun. Math. Phys. 135, No. 1, 141-191 (1990; Zbl 0716.20022)]. The author calls this representation the Lawrence-Krammer representation.NEWLINENEWLINENEWLINEIn the paper the author proves by topological methods that the Lawrence-Krammer representation is faithful for all \(n\).