Actions of the n-strand braid groups on the free group of rank n which are similar to the Artin representation
Actions of the n-strand braid groups on the free group of rank n which are similar to the Artin representation
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n 股辫子组对 n 级自由组的作用类似于 Artin 表示
DOI：
10.1093/qmath/hau033
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Tetsuya Ito
中科院分区：
文献类型：
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作者：
Aleksic;et al.;齋藤隆之;T. Saito;T. Saito;T. Saito;齋藤隆之;齋藤隆之;齋藤隆之;齋藤隆之;Tetsuya Ito and Keiko Kawamuro;Tetsuya Ito and Keiko Kawamuro;Tetsuya Ito;Tetsuya Ito
我们对-strand辫群在秩自由群上的作用进行了分类，它与Artin表示类似，因为它的第n个生成元是事实，使得它固定除的所有自由生成元。我们确定所有这样的表示和讨论结不变量来自这样的表示。
We classify an action of the-strand braid group on the free group of rank, which is similar to the Artin representation in the sense that theth generatorofacts so that it fixes all free generatorsexcept. We determine all such representations and discuss knot invariants coming from such representations.