Geodesic
Braid groups are linear
Bigelow, Stephen 1
1 Department of Mathematics, University of Melbourne, Parkville, Victoria, Australia 3052
Journal of the American Mathematical Society, Tome 14 (2001) no. 2, pp. 471-486 Cet article a éte moissonné depuis la source American Mathematical Society

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The braid group $B_n$ can be defined as the mapping class group of the $n$-punctured disk. A group is said to be linear if it admits a faithful representation into a group of matrices over $\mathbf R$. Recently Daan Krammer has shown that a certain representation of the braid groups is faithful for the case $n=4$. In this paper, we show that it is faithful for all $n$.
DOI : 10.1090/S0894-0347-00-00361-1

Bigelow, Stephen  1

1 Department of Mathematics, University of Melbourne, Parkville, Victoria, Australia 3052 
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Bigelow, Stephen. Braid groups are linear. Journal of the American Mathematical Society, Tome 14 (2001) no. 2, pp. 471-486. doi: 10.1090/S0894-0347-00-00361-1

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