Abstract
Abstract
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.
Publisher
Cambridge University Press (CUP)