Relative rigid subcategories and \(\tau\)-tilting theory
From MaRDI portal
Publication:6166121
DOI10.1007/s10468-021-10082-6zbMath1525.18018arXiv2007.06450OpenAlexW3192257095MaRDI QIDQ6166121
Publication date: 2 August 2023
Published in: Algebras and Representation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.06450
triangulated categoriesexact categoriesextriangulated categoriessupport tilting subcategoriestilting subcategoriessupport \(\tau\)-tilting subcategoriesmaximal relative rigid subcategories
Module categories in associative algebras (16D90) Abelian categories, Grothendieck categories (18E10) Derived categories, triangulated categories (18G80)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rigid objects, triangulated subfactors and abelian localizations
- Maximal rigid subcategories in 2-Calabi-Yau triangulated categories.
- Intermediate co-\(t\)-structures, two-term silting objects, \(\tau\)-tilting modules, and torsion classes
- On the relation between cluster and classical tilting.
- Relative rigid objects in triangulated categories
- Triangulated quotient categories revisited
- Two-term relative cluster tilting subcategories, \(\tau\)-tilting modules and silting subcategories
- Abelian categories arising from cluster tilting subcategories
- Triangulated categories with cluster tilting subcategories
- Hearts of twin cotorsion pairs on extriangulated categories
- From triangulated categories to abelian categories: cluster tilting in a general framework
- Tilting theory and cluster combinatorics.
- Cluster algebras I: Foundations
- Noncrossing partitions and representations of quivers
- Coxeter Functors Without Diagrams
- Relative cluster tilting objects in triangulated categories
- Abelian categories arising from cluster tilting subcategories II: quotient functors
- -tilting theory
This page was built for publication: Relative rigid subcategories and \(\tau\)-tilting theory