Derived Equivalence of Surface Algebras in Genus 0 via Graded Equivalence

作者：David Roesler Lucas^*

来源：Algebras and Representation Theory, 2014, 17(1): 1-30.

DOI：10.1007/s10468-012-9384-9

• Derived equivalence
• Graded equivalence
• Triangulated surfaces
• Quiver representations

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 of genus 0 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.

• 出版日期2014-2