Derived classification of gentle algebras with two cycles

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.

41 pages Appendix added (after a manuscript by T. Holm, J. Schröer, A. Zimmermann) To be published in "Boletin De La Sociedad Matematica Mexicana"

Cited by in corpus (1)

• The almost split triangles for perfect complexes over gentle algebras