Reduced expression of minimal infinite reduced words of affine Weyl groups
From MaRDI portal
Publication:6333560
DOI10.1016/J.JALGEBRA.2021.12.006arXiv2001.09848MaRDI QIDQ6333560
Publication date: 27 January 2020
Abstract: 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 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.
Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)
This page was built for publication: Reduced expression of minimal infinite reduced words of affine Weyl groups
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6333560)
