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.

引用

页码：409 / 435

页数：27

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