The geometry of Brauer graph algebras and cluster mutations.

DOI10.1016/j.jalgebra.2014.08.002zbMath1343.16015arXiv1309.4239OpenAlexW2044455662WikidataQ56285863 ScholiaQ56285863MaRDI QIDQ406594

Sibylle Schroll, Bethany R. Marsh

Publication date: 8 September 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4239

zbMATH Keywords

derived equivalencestriangulationsribbon graphscluster algebrasmarked surfacesBrauer graph algebrasBrauer graphsspecial biserial algebrastilting mutations

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Cluster algebras (13F60)

Related Items (15)

Brauer graph algebras are closed under derived equivalence ⋮ Multiserial and special multiserial algebras and their representations ⋮ Auslander-Reiten components of symmetric special biserial algebras ⋮ Brauer configuration algebras: a generalization of Brauer graph algebras ⋮ Classifying torsion classes for algebras with radical square zero via sign decomposition ⋮ Virtual mutations of weighted surface algebras ⋮ Dessins d'enfants, Brauer graph algebras and Galois invariants ⋮ On simple-minded systems over domestic Brauer graph algebras ⋮ Classification of two-term tilting complexes over Brauer graph algebras ⋮ Filling of closed surfaces ⋮ On stably biserial algebras and the Auslander-Reiten conjecture for special biserial algebras ⋮ Special multiserial algebras, Brauer configuration algebras and more: A survey ⋮ Trivial extensions of gentle algebras and Brauer graph algebras. ⋮ From Brauer graph algebras to biserial weighted surface algebras ⋮ Brauer Graph Algebras

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