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The braid group B n B_n can be defined as the mapping class group of the n n -punctured disk. A group is said to be linear if it admits a faithful representation into a group of matrices over R R . Recently Daan Krammer has shown that a certain representation of the braid groups is faithful for the case n = 4 n=4 . In this paper, we show that it is faithful for all n n .
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Stephen Bigelow (2000) studied this question.
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