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 …
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 …
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 | Mathematische Zeitschrift Skip to main content SpringerLink Account Menu Find a journal Publish with us Track your research …
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 …
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 …
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 …
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 …
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 …