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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2412.11219 |
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| _version_ | 1866929632491601920 |
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| author | Sanmartin-Lopez, Victor |
| author_facet | Sanmartin-Lopez, Victor |
| contents | Let $Φ$ be a subset of the simple roots of a (possibly non-reduced) abstract root system $Σ$, and let $λ\in Σ$. We define the $Φ$-string of $λ$ as the set of elements in $Σ\cup \{0\}$ of the form $λ+ \sum_{α\in Φ} n_αα$, where $n_α$ is an integer for each $α\in Φ$. This notion can be regarded as some sort of generalization of the classical notion of $α$-string, where $α\in Σ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_11219 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strings in abstract root systems Sanmartin-Lopez, Victor Rings and Algebras Differential Geometry Let $Φ$ be a subset of the simple roots of a (possibly non-reduced) abstract root system $Σ$, and let $λ\in Σ$. We define the $Φ$-string of $λ$ as the set of elements in $Σ\cup \{0\}$ of the form $λ+ \sum_{α\in Φ} n_αα$, where $n_α$ is an integer for each $α\in Φ$. This notion can be regarded as some sort of generalization of the classical notion of $α$-string, where $α\in Σ$. |
| title | Strings in abstract root systems |
| topic | Rings and Algebras Differential Geometry |
| url | https://arxiv.org/abs/2412.11219 |