Classical orthogonal decomposition of a modular $\mathfrak{sl}_n$
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911943909965824 |
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| author | Meemark, Yotsanan Sriwongsa, Songpon |
| author_facet | Meemark, Yotsanan Sriwongsa, Songpon |
| contents | An orthogonal decomposition problem of Lie algebras over the complex numbers has been studied since the 1980s. It has many applications and relations to other areas of mathematics and sciences. In this paper, we consider this decomposition problem over a field of prime characteristic. We define a classical orthogonal decomposition of a modular Lie algebra and construct it for $\mathfrak{sl}_n$ under certain sufficient conditions. Additionally, we provide more detailed analysis of the problem when $n = 2$ and $3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03367 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classical orthogonal decomposition of a modular $\mathfrak{sl}_n$ Meemark, Yotsanan Sriwongsa, Songpon Rings and Algebras 17B50, 13M05 An orthogonal decomposition problem of Lie algebras over the complex numbers has been studied since the 1980s. It has many applications and relations to other areas of mathematics and sciences. In this paper, we consider this decomposition problem over a field of prime characteristic. We define a classical orthogonal decomposition of a modular Lie algebra and construct it for $\mathfrak{sl}_n$ under certain sufficient conditions. Additionally, we provide more detailed analysis of the problem when $n = 2$ and $3$. |
| title | Classical orthogonal decomposition of a modular $\mathfrak{sl}_n$ |
| topic | Rings and Algebras 17B50, 13M05 |
| url | https://arxiv.org/abs/2407.03367 |