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arXiv · 1902.09876

Dessins d'enfants, Brauer graph algebras and Galois invariants

Goran Malic·Sibylle Schroll
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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.

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Goran Malic, Sibylle Schroll. 2019-02-26. Dessins d'enfants, Brauer graph algebras and Galois invariants. https://arxiv.org/abs/1902.09876

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