A classification of automorphic Lie algebras on complex tori

We classify the automorphic Lie algebras of equivariant maps from a complex torus to sl2(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 PSL2(Z), apart from four ca...

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Bibliographic Details
Main Authors: Vincent Knibbeler, Sara Lombardo, Casper Oelen
Format: Default Article
Published: 2024
Subjects:
Applied mathematics
Pure mathematics
Rings and algebras
Infinite-dimentional Lie algebras
Equivariant map algebra
Automorphic Lie algebras
30D30: Meromorphic functions, general theory
17B65: Infinite-dimensional Lie (super)algebras
13A50: Actions of groups on commutative rings; invariant theory
Online Access:https://hdl.handle.net/2134/30103087.v1
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