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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1808.05090 |
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| _version_ | 1866913117404921856 |
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| author | Reading, Nathan Stella, Salvatore |
| author_facet | Reading, Nathan Stella, Salvatore |
| contents | The characterization of orbits of roots under the action of a Coxeter element is a fundamental tool in the study of finite root systems and their reflection groups. This paper develops the analogous tool in the affine setting, adding detail and uniformity to a result of Dlab and Ringel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1808_05090 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | The action of a Coxeter element on an affine root system Reading, Nathan Stella, Salvatore Combinatorics 13F60 The characterization of orbits of roots under the action of a Coxeter element is a fundamental tool in the study of finite root systems and their reflection groups. This paper develops the analogous tool in the affine setting, adding detail and uniformity to a result of Dlab and Ringel. |
| title | The action of a Coxeter element on an affine root system |
| topic | Combinatorics 13F60 |
| url | https://arxiv.org/abs/1808.05090 |