{"title":"Lifting to relative cluster tilting objects in $2n$-Calabi–Yau $(n+2)$-angulated categories","authors":"Panyue Zhou, Xing-fei Zhou","doi":"10.4064/cm8178-7-2020","DOIUrl":null,"url":null,"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.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Colloquium Mathematicum","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4064/cm8178-7-2020","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
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.
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.
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