Folded galleries and moment graphs
Combinatorics
2024-10-17 v1 Group Theory
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.
Keywords
Cite
@article{arxiv.2410.12578,
title = {Folded galleries and moment graphs},
author = {Anna Reimann},
journal= {arXiv preprint arXiv:2410.12578},
year = {2024}
}
Comments
23 pages, 6 figures