Lifting to relative cluster tilting objects in $2n$-Calabi–Yau $(n+2)$-angulated categories

IF 0.4 4区数学 Q4 MATHEMATICS

Colloquium Mathematicum Pub Date : 2021-01-01 DOI:10.4064/cm8178-7-2020

Panyue Zhou, Xing-fei Zhou

引用次数: 0

Abstract

We show that a generalized tilting module over the endomorphism algebra of an Oppermann–Thomas cluster tilting object in a 2n-Calabi–Yau (n + 2)-angulated category lifts to a relative cluster tilting object in this category. As an application, this generalizes a recent work of Fu and Liu for triangulated categories.

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提升到$2n$ -Calabi-Yau $(n+2)$-倾斜类别中的相对群集倾斜对象

我们证明了2n-Calabi-Yau (n + 2)-角范畴中Oppermann-Thomas簇倾斜对象的自同态代数上的一个广义倾斜模提升到该范畴中的一个相对簇倾斜对象。作为一种应用，这推广了Fu和Liu最近关于三角分类的工作。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Colloquium Mathematicum MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics. Two issues constitute a volume, and at least four volumes are published each year.