Derived Equivalence of Surface Algebras in Genus 0 via Graded Equivalence

被引：4

作者：

David-Roesler, Lucas ^{[1
]}

机构：

[1] Univ Connecticut, Storrs, CT 06269 USA

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2014年 / 17卷 / 01期

关键词：

Derived equivalence; Graded equivalence; Triangulated surfaces; Quiver representations; GENTLE ALGEBRAS; QUIVERS; POTENTIALS;

D O I：

10.1007/s10468-012-9384-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1 / 30

页数：30

共 17 条

[1]

Amiot C., 2012, ALGEBRAS ACYCLIC CLU

[2]

Amiot C., 2010, CLUSTER EQUIVALENCE

[3] CLUSTER CATEGORIES FOR ALGEBRAS OF GLOBAL DIMENSION 2 AND QUIVERS WITH POTENTIAL [J].