Derived classification of gentle algebras with two cycles

Diana Avella-Alaminos

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arXiv · 0708.3839

Derived classification of gentle algebras with two cycles

Diana Avella-Alaminos

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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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BibTeX RIS

Diana Avella-Alaminos. 2008-08-14. Derived classification of gentle algebras with two cycles. https://arxiv.org/abs/0708.3839

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