Year: 2024
Type: preprint
Abstract: We characterize folding patterns, the combinatorial options of folding minimal alcove-to-alcove galleries in affine Coxeter complexes positively with respect to Weyl chamber orientations of the Coxeter complex, by drawing a connection to the Bruhat moment graph of the associated spherical Coxeter group. We also prove how to determine the spherical direction of the end alcove of a positively folded gallery using these graphs.
Source: arXiv (Cornell University)
Author: Reimann, Anna
Institution: Otto-von-Guericke-Universität Magdeburg
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4403578340