Lifting to relative cluster tilting objects in $2n$-Calabi–Yau $(n+2)$-angulated categories
Volume 165 / 2021
Colloquium Mathematicum 165 (2021), 163-169
MSC: Primary 18G80; Secondary 16D90.
DOI: 10.4064/cm8178-7-2020
Published online: 21 December 2020
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.
