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math.RT2007★ 4 cited
Derived classification of gentle algebras with two cycles
Diana Avella-Alaminos
We classify gentle algebras defined by quivers with two cycles under derived equivalence in a non degenerate case, by using some combinatorial invariants constructed from the quive…
math.RT2006★ 69 cited
Combinatorial derived invariants for gentle algebras
Diana Avella-Alaminos, Christof Geiss
We define derived equivalent invariants for gentle algebras, constructed in an easy combinatorial way from the quiver with relations defining these algebras. Our invariants consist…