Corpus ID: 119133805

Dessins d'enfants, Brauer graph algebras and Galois invariants

@article{Malic2019DessinsDB,
  title={Dessins d'enfants, Brauer graph algebras and Galois invariants},
  author={Goran Mali'c and Sibylle Schroll},
  journal={arXiv: Representation Theory},
  year={2019}
}
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 the center, the dimension of the Brauer graph algebra as well as the dimension of the first Hochschild cohomology space and the stable Auslander-Reiten quiver, of the Brauer graph algebra are Galois invariant. Furthermore, we show that the Brauer graph algebras of two Galois conjugate clean dessins of… Expand

Figures from this paper

Dessins d'enfants and Brauer configuration algebras

References

SHOWING 1-10 OF 42 REFERENCES
The geometry of Brauer graph algebras and cluster mutations
Trivial extensions of gentle algebras and Brauer graph algebras
Auslander–Reiten components of symmetric special biserial algebras
Brauer configuration algebras: A generalization of Brauer graph algebras
Derived equivalence of symmetric special biserial algebras
Classification of two-term tilting complexes over Brauer graph algebras
Walking around the Brauer tree
...
1
2
3
4
5
...