Derived classification of gentle algebras with two cycles

2007/08/28 by Diana Avella-Alaminos, Avella-Alaminos, Diana
Mathematics · Physics and Astronomy · #16E30 #16G20 #18E30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.0708.3839

openalex publication_date 2007/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 quiver with relations defining these algebras. We also present a list of normal forms; any such algebra is derived equivalent to one of the algebras in the list.

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