Year: 2019
Type: preprint
Abstract: We study $c$-preprojective roots for a Coxeter element $c$ of infinite Coxeter group $W$. In particular, we consider the case when any positive root is $c$-preprojective for some Coxeter element $c$. In this paper, by assuming that the Coxeter graph of $W$ is cyclic, we establish that any positive root is $c$-preprojective for some Coxeter element $c$ if and only if $W$ is an affine Coxeter group.
Source: arXiv (Cornell University)
Author: Komatsu, Yuji
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2991466447