A Geometric Description of the m-cluster Categories of Type Dn

被引：19
作者：
Baur, Karin [1 ]
Marsh, Robert J. [2 ]
机构：
[1] Univ Leicester, Dept Math, Leicester LE1 7RH, Leics, England
[2] Univ Leeds, Dept Pure Math, Leeds LS2 9JT, W Yorkshire, England
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2007年 / 2007卷
基金：
英国工程与自然科学研究理事会;
关键词：
D O I：
10.1093/imrn/rnm011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the m-cluster category of type D-n is equivalent to a certain geometrically-defined category of arcs in a punctured regular nm - m + 1-gon. This generalizes a result of Schiffler for m = 1. We use the notion of the mth power of a translation quiver to realize the m-cluster category in terms of the cluster category.
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页数：19
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