Derived classification of gentle algebras with two cycles

Details Derived classification of gentle algebras with two cycles Derived classification of gentle algebras with two cycles

2007-08-28

arxiv.org/abs/0708.3839v2

Mathematics

Representation Theory

41 pages Appendix added (after a manuscript by T. Holm, J. Schr\"oer, A. Zimmermann) To be published in "Boletin De La Socieda

Scientific paper

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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