AI 中文总结
利用前人想法证明辫群的Burau表示在n = 4时是忠实的这一定理，其推论是辫群的Jones表示在n = 4时也忠实。
AI 中文摘要
在本文中，我们使用Moody、Long、Long - Paton和Bigelow之前提出的想法来证明标题中的定理，即经典辫群的Burau表示在n = 4时是忠实的。一个直接推论是辫群的Jones表示在n = 4时也是忠实的。
英文摘要
In this paper we use ideas introduced earlier by Moody, Long, Long-Paton, and Bigelow to prove the theorem of the title, that the Burau representation of the classical braid group is faithful for n = 4. An immediate corollary is that the Jones representation of the braid group is also faithful for n = 4.
Comments28 pages, 32 figures. Minor corrections and improved exposition
