Classification of two-term tilting complexes over Brauer graph algebras

Classification of two-term tilting complexes over Brauer graph algebras

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 application, we determine precisely the class of Brauer graph algebras which are tilting-discrete.

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Veröffentlicht in:Mathematische Zeitschrift 2018-10, Vol.290 (1-2), p.1-36
Hauptverfasser: Adachi, Takahide, Aihara, Takuma, Chan, Aaron
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Combinatorial analysis
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung: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 application, we determine precisely the class of Brauer graph algebras which are tilting-discrete.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-017-2006-9