Associating Brauer configuration algebras to dessins d'enfants yields numerical invariants, algebra dimension and centre dimension, claimed to be invariant under the absolute Galois group.
Dessins d'enfants, Brauer graph algebras and Galois invariants
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
fields
math.RT 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Dessins d'enfants and Brauer configuration algebras
Associating Brauer configuration algebras to dessins d'enfants yields numerical invariants, algebra dimension and centre dimension, claimed to be invariant under the absolute Galois group.