Derived Equivalence in Surface Algebras via Graded Equivalence

Details Derived Equivalence in Surface Algebras via Graded Equivalence Derived Equivalence in Surface Algebras via Graded Equivalence

2011-11-20

arxiv.org/abs/1111.4657v1

Mathematics

Representation Theory

30 pages, 17 figures

Scientific paper

We determine some of the derived equivalences of a class of gentle algebras called surface algebras. These algebras are constructed from an unpunctured Riemann surface with boundary and marked points by introducing cuts in internal triangles of an arbitrary triangulation of the surface. In particular, we fix a triangulation of a surface and determine when different cuts produce derived equivalent algebras.

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