Brauer graph algebras: a survey on Brauer graph algebras, associated gentle algebras and their connections to cluster theory

S Schroll - … methods, representation theory, and cluster algebras, 2018 - Springer
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 …

[HTML][HTML] Trivial extensions of gentle algebras and Brauer graph algebras

S Schroll - Journal of Algebra, 2015 - Elsevier
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 …

[HTML][HTML] Brauer configuration algebras: A generalization of Brauer graph algebras

EL Green, S Schroll - Bulletin des Sciences Mathématiques, 2017 - Elsevier
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 …

Classification of two-term tilting complexes over Brauer graph algebras

T Adachi, T Aihara, A Chan - Mathematische Zeitschrift, 2018 - Springer
Using only the combinatorics of its defining ribbon graph, we classify the two-term tilting
complexes, as well as their indecomposable summands, of a Brauer graph algebra. As an …

Brauer graph algebras are closed under derived equivalence

M Antipov, A Zvonareva - Mathematische Zeitschrift, 2022 - Springer
Brauer graph algebras are closed under derived equivalence | Mathematische Zeitschrift Skip
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A graph theoretic model for the derived categories of gentle algebras and their homological bilinear forms

JAJ González, A Mróz - arXiv preprint arXiv:2407.04817, 2024 - arxiv.org
We formulate a simple model for the bounded derived category of gentle algebras in terms
of marked ribbon graphs and their walks, in order to analyze indecomposable objects …

Generalized Kauer moves and derived equivalences of Brauer graph algebras

V Soto - Journal of Algebra, 2024 - Elsevier
Kauer moves are local moves of an edge in a Brauer graph that yield derived equivalences
between Brauer graph algebras [10]. These derived equivalences may be interpreted in …

[HTML][HTML] Multiserial and special multiserial algebras and their representations

EL Green, S Schroll - Advances in Mathematics, 2016 - Elsevier
In this paper we study multiserial and special multiserial algebras. These algebras are a
natural generalization of biserial and special biserial algebras to algebras of wild …

On simple-minded systems over domestic Brauer graph algebras

Z Zhang - European Journal of Mathematics, 2024 - Springer
Let A be a domestic Brauer graph algebra over an algebraically closed field. We present a
practical criterion for an orthogonal system in the stable module category A-mod ̲ to be a …

From Brauer graph algebras to biserial weighted surface algebras

K Erdmann, A Skowroński - Journal of Algebraic Combinatorics, 2020 - Springer
We prove that the class of Brauer graph algebras coincides with the class of
indecomposable idempotent algebras of biserial weighted surface algebras. These algebras …