Order types of reflection orders on affine Weyl groups
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866914898043207680 |
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| author | Wang, Weijia Wang, Rui |
| author_facet | Wang, Weijia Wang, Rui |
| contents | In this paper, we investigate the order types of reflection orders on irreducible affine Weyl groups. We show that they are intimately related to the Catalan combinatorics. We explicitly describe all of those order types and show that these order types can be parameterized by deformed Dyck words, which can be enumerated by Catalan numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_10457 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Order types of reflection orders on affine Weyl groups Wang, Weijia Wang, Rui Representation Theory Group Theory In this paper, we investigate the order types of reflection orders on irreducible affine Weyl groups. We show that they are intimately related to the Catalan combinatorics. We explicitly describe all of those order types and show that these order types can be parameterized by deformed Dyck words, which can be enumerated by Catalan numbers. |
| title | Order types of reflection orders on affine Weyl groups |
| topic | Representation Theory Group Theory |
| url | https://arxiv.org/abs/2301.10457 |