论文标题
在Iwahori-Hecke代数的中心
On the centre of Iwahori-Hecke algebras
论文作者
论文摘要
我们证明了不可约定非属于非携带类型的任意Hecke代数中心的微不足道。该结果是由于下面Coxeter组的结合类别的以下结构结果获得的。如果$ w $是任何无限的不可约合coxeter组，而w $中的$ w \是一个非平凡的元素，则假定不是翻译的情况下，如果$ w $是仿射的，那么Coxeter生成器的长度是不受约力的，并且趋于无限。
We prove triviality of the centre of arbitrary Hecke algebras of irreducible non-finite non-affine type. This result is obtained as a consequence of the following structure result for conjugacy classes of the underlying Coxeter groups. If $W$ is any infinite irreducible Coxeter group and $w \in W$ is a nontrivial element that is assumed not be a translation in case $W$ is affine, then there is an infinite sequence of conjugates of $w$ by Coxeter generators whose length is non-decreasing and tends to infinity.
