Dessins d'enfants, Brauer graph algebras and Galois invariants
arXiv:1902.09876
Abstract
In this paper, we associate a finite dimensional algebra, called a Brauer graph algebra, to every clean dessin d'enfant by constructing a quiver based on the monodromy of the dessin. We show that Galois conjugate dessins d'enfants give rise to derived equivalent Brauer graph algebras and that the stable Auslander-Reiten quiver and the dimension of the Brauer graph algebra are invariant under the induced action of the absolute Galois group.
arXiv comment12 pages, general revision, to appear in Algebras and Representation Theory