REALIZING HIGHER CLUSTER CATEGORIES OF DYNKIN TYPE AS STABLE MODULE CATEGORIES

被引：2
|
作者：
Holm, Thorsten [1 ]
Jorgensen, Peter [2 ]
机构：
[1] Leibniz Univ Hannover, Fac Math & Phys, Inst Algebra Zahlentheorie & Diskrete Math, D-30167 Hannover, Germany
[2] Newcastle Univ, Sch Math & Stat, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England
来源：
QUARTERLY JOURNAL OF MATHEMATICS | 2013年 / 64卷 / 02期
关键词：
EQUIVALENCE; ALGEBRAS; QUIVERS;
D O I：
10.1093/qmath/has013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the stable module categories of certain self-injective algebras of finite representation type having tree class A(n), D-n, E-6, E-7 or E-8 are triangulated equivalent to u-cluster categories of the corresponding Dynkin type. The proof relies on the 'Morita' theorem for u-cluster categories by Keller and Reiten, along with the recent computation of Calabi-Yau dimensions of stable module categories by Dugas.
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页码：409 / 435
页数：27
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