  In this paper we associate to a dessin d'enfant an associative algebra,
called a Brauer configuration algebra. This is an algebra given by quiver and
relations induced by the monodromy of the dessin d'enfant. We show that the
dimension of the Brauer configuration algebra associated to a dessin d'enfant
and the dimension of the centre this algebra are invariant under the action of
the absolute Galois group. We give some examples of well-known algebras and
their dessins d'enfants. Finally we show that the Brauer configuration algebras
of a dessin d'enfant and its dual share the same path algebra.
