论文标题
最小无限降低仿生基团的单词的表达降低
Reduced expression of minimal infinite reduced words of affine Weyl groups
论文作者
论文摘要
对于无限的高级汽油系统，可以将弱右顺序扩展到无限简化的单词。这称为极限弱顺序。在[转化组18（1），2013，179-231]中，林和普莱夫斯基表明，对于$ \ \ \\ widetilde {a} _n $最小无限的无限单词较小的无限单词较小较小的单词较小弱的单词较小的较小顺序较小顺序是无限元素的问题，并且在不限制的范围中，其他无限元素的问题是，其他无限的单词均为弱点的问题，类型。在本文中，我们通过表征其他不可约息Weyl基团的最小无限的单词来回答这个问题。
For an infinite Coxeter system, one can extend the weak right order to the set of infinite reduced words. This is called limit weak order. In [Transformation Groups 18(1), 2013, 179-231], Lam and Pylyavskyy showed that for affine Weyl groups of type $\widetilde{A}_n$ minimal infinite reduced words under the limit weak order are precisely those infinite Coxeter elements and asked the question of characterization, in terms of infinite reduced words, of the minimal elements of the limit weak order for other affine types. In this paper, we answer this question by characterizing the minimal infinite reduced words for other irreducible affine Weyl groups by one of their reduced expressions.
