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Bibliographic Details
Main Author: Reimann, Anna
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2410.12578
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Table of Contents:
  • 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.