This survey starts with a motivation of the study of Brauer graph algebras by relating them to
special biserial algebras. The definition of Brauer graph algebras is given in great detail with …

We show that two well-studied classes of tame algebras coincide: namely, the class of
symmetric special biserial algebras coincides with the class of Brauer graph algebras. We …

In this paper we introduce a generalization of a Brauer graph algebra which we call a Brauer
configuration algebra. As with Brauer graphs and Brauer graph algebras, to each Brauer …

We classify Brauer graph algebras up to derived equivalence by showing that the set of
derived invariants introduced by Antipov is complete. These algebras first appeared in …

The dimension of the center of a Brauer configuration algebra - ScienceDirect Skip to main
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arXiv:2405.05602v1 [math.RT] 9 May 2024 Page 1 arXiv:2405.05602v1 [math.RT] 9 May 2024
Chapter 1 Derived equivalences of Brauer graph algebras Alexandra Zvonareva The aim of this …

We develop a theory of group actions and coverings on Brauer graphs that parallels the
theory of group actions and coverings of algebras. In particular, we show that any Brauer …

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 …

In this article we calculate two aspects of the representation theory of a Brauer configuration
algebra: its Cartan matrix, and the module length of its associated indecomposable …

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 …