Report
A classification of automorphic Lie algebras on complex tori
| العنوان: | A classification of automorphic Lie algebras on complex tori |
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| المؤلفون: | Knibbeler, Vincent, Lombardo, Sara, Oelen, Casper |
| المصدر: | Proceedings of the Edinburgh Mathematical Society 67 (2024) 947-989 |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Nonlinear Sciences |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, Nonlinear Sciences - Exactly Solvable and Integrable Systems |
| الوصف: | We classify the automorphic Lie algebras of equivariant maps from a complex torus to $\mathfrak{sl}_2(\mathbb{C})$. For each case we compute a basis in a normal form. The automorphic Lie algebras correspond precisely to two disjoint families of Lie algebras parametrised by the modular curve of $\mathrm{PSL}_2(\mathbb{Z})$, apart from four cases, which are all isomorphic to Onsager's algebra. Comment: 36 pages. To appear in the Proceedings of the Edinburgh Mathematical Society |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1017/S0013091524000324 |
| URL الوصول: | http://arxiv.org/abs/2405.13598 |
| رقم الانضمام: | edsarx.2405.13598 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1017/S0013091524000324 |
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