Folded galleries and moment graphs
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914974616518656 |
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| author | Reimann, Anna |
| author_facet | Reimann, Anna |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_12578 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Folded galleries and moment graphs Reimann, Anna Combinatorics Group Theory 20F55 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. |
| title | Folded galleries and moment graphs |
| topic | Combinatorics Group Theory 20F55 |
| url | https://arxiv.org/abs/2410.12578 |