On the relation between cluster and classical tilting

被引：9

作者：

Holm, Thorsten ^{[2
]}

Jorgensen, Peter ^{[1
]}

机构：

[1] Newcastle Univ, Sch Math & Stat, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

[2] Leibniz Univ Hannover, Fak Math & Phys, Inst Algebra Zahlentheorie & Diskrete Math, D-30167 Hannover, Germany

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2010年 / 214卷 / 09期

关键词：

CATEGORIES;

D O I：

10.1016/j.jpaa.2009.11.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let D be a triangulated category with a cluster tilting subcategory u. The quotient category D/u is abelian; Suppose that it has finite global dimension. We show that projection from D to D/u sends cluster tilting subcategories of D to Support tilting subcategories of D/u and that, in turn, Support tilting subcategories of D/u can be lifted uniquely to weak cluster tilting subcategories of D. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1523 / 1533

页数：11

共 25 条

[1]

[Anonymous], 2007, LONDON MATH SOC LECT

[2]

Assem I., 2006, Elements of Representation Theory of Associative Algebras: Volume 1: Techniques of Representation Theory, V1

[3]

AUSLANDER M, 1979, T AM MATH SOC, V250, P1

[4]

Auslander M, 1971, Queen Mary College Mathematics Notes

[5]

Auslander M., 1974, Commun. Algebra, V1, P177

[6]

Bernstein I. N., 1973, RUSS MATH SURV, V28, P17

[7]

BOKSTEDT M, 1993, COMPOS MATH, V86, P209

[8]

Brenner S., 1980, P ICRA 2 OTT 1979 SP, V832, P103

[9]

Buan AB, 2006, CONTEMP MATH, V406, P1

[10]

Buan AB, 2007, T AM MATH SOC, V359, P323

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