A classification of automorphic Lie algebras on complex tori
journal contribution
posted on 2025-09-15, 09:43 authored by Vincent Knibbeler, Sara Lombardo, Casper Oelen<p dir="ltr">We classify the automorphic Lie algebras of equivariant maps from a complex torus to sl<sub>2</sub>(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 PSL<sub>2</sub>(Z), apart from four cases, which are all isomorphic to Onsager’s algebra.</p>
History
Related Materials
- 1.
School
- Science
Published in
Proceedings of the Edinburgh Mathematical SocietyVolume
67Issue
3Pages
947 - 989Publisher
Cambridge University Press (CUP) on Behalf of The Edinburgh Mathematical SocietyVersion
- VoR (Version of Record)
Rights holder
© The Author(s)Publisher statement
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.Publication date
2024-08-01Copyright date
2024ISSN
0013-0915eISSN
1464-3839Publisher version
Language
- en
