Reduced words for reflections in Weyl groups
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908303590686720 |
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| author | Milićević, Elizabeth |
| author_facet | Milićević, Elizabeth |
| contents | The reflections in a Coxeter group are defined as conjugates of a single generator, and thus admit palindromic expressions as products of generators. Our main result gives closed formulas providing a palindromic reduced expression for each reflection in any finite Weyl group. There exist algorithmic methods for determining such reduced expressions, but explicit formulas have not been recorded outside of well-known special cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09009 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Reduced words for reflections in Weyl groups Milićević, Elizabeth Combinatorics Representation Theory The reflections in a Coxeter group are defined as conjugates of a single generator, and thus admit palindromic expressions as products of generators. Our main result gives closed formulas providing a palindromic reduced expression for each reflection in any finite Weyl group. There exist algorithmic methods for determining such reduced expressions, but explicit formulas have not been recorded outside of well-known special cases. |
| title | Reduced words for reflections in Weyl groups |
| topic | Combinatorics Representation Theory |
| url | https://arxiv.org/abs/2408.09009 |