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Braid groups are linear |
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| Authors: | Stephen J. Bigelow |
| Affiliation: | Department of Mathematics, University of Melbourne, Parkville, Victoria, Australia 3052 |
| Abstract: | The braid group |
| Keywords: | Braid group linear representation |
| 点击此处可从《Journal of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Journal of the American Mathematical Society》下载全文 | |
can be defined as the mapping class group of the 
-punctured disk. A group is said to be linear if it admits a faithful representation into a group of matrices over 
. Recently Daan Krammer has shown that a certain representation of the braid groups is faithful for the case 
. In this paper, we show that it is faithful for all 
.