A geometric model for cluster categories of type Dn

被引：58
作者：
Schiffler, Ralf [1 ]
机构：
[1] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2008年 / 27卷 / 01期
关键词：
cluster category; triangulated surface; punctured polygon; elementary move;
D O I：
10.1007/s10801-007-0071-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a geometric realization of cluster categories of type D-n using a polygon with n vertices and one puncture in its center as a model. In this realization, the indecomposable objects of the cluster category correspond to certain homotopy classes of paths between two vertices.
引用
收藏
页码：1 / 21
页数：21
相关论文
共 25 条
  • [1] Cluster categories and duplicated algebras
    Assem, I.
    Brustle, T.
    Schiffler, R.
    Todorov, G.
    [J]. JOURNAL OF ALGEBRA, 2006, 305 (01) : 548 - 561
  • [2] Assem I., 2006, ELEMENTS REPRESENTAT
  • [3] ASSEM I, 2006, M CLUSTER CATEGORIES
  • [4] Auslander M., 1995, CAMBRIDGE STUDIES AD, V36
  • [5] BAUR K, 2006, IN PRESS T AM MATH S
  • [6] BUAN A, IN PRESS P AM MATH S
  • [7] Buan AB, 2007, T AM MATH SOC, V359, P323
  • [8] Tilting theory and cluster combinatorics
    Buan, Aslak Bakke
    Marsh, Bethany Rose
    Reineke, Markus
    Reiten, Idun
    Todorov, Gordana
    [J]. ADVANCES IN MATHEMATICS, 2006, 204 (02) : 572 - 618
  • [9] Quivers with relations arising from clusters (An case)
    Caldero, P
    Chapoton, F
    Schiffler, R
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 358 (03) : 1347 - 1364
  • [10] CALDERO P, IN PRESS ANN SCI ECO
123