Relative cluster tilting objects in triangulated categories
From MaRDI portal
Publication:4561803
DOI10.1090/tran/7242zbMath1456.16011arXiv1504.00093OpenAlexW2605101196MaRDI QIDQ4561803
Publication date: 13 December 2018
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.00093
Torsion theories, radicals (18E40) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Bimodules in associative algebras (16D20) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)
Related Items (11)
Relative rigid objects in triangulated categories ⋮ Two-term relative cluster tilting subcategories, \(\tau\)-tilting modules and silting subcategories ⋮ Relative Oppermann-Thomas cluster tilting objects in \((n+2)\)-angulated categories ⋮ Associahedra for finite‐type cluster algebras and minimal relations between g‐vectors ⋮ Relative rigid subcategories and \(\tau\)-tilting theory ⋮ Lifting to two-term relative maximal rigid subcategories in triangulated categories ⋮ Relative n-rigid objects in (n + 2)-angulated categories ⋮ Triangulated categories with cluster tilting subcategories ⋮ Relative rigid objects in extriangulated categories ⋮ Support \(\tau_n\)-tilting pairs ⋮ Support $\tau $-tilting modules and recollements
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rigid objects, triangulated subfactors and abelian localizations
- Maximal rigid subcategories in 2-Calabi-Yau triangulated categories.
- Projective dimension of modules over cluster-tilted algebras.
- On support \(\tau\)-tilting modules over endomorphism algebras of rigid objects
- Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
- Cluster characters for 2-Calabi-Yau triangulated categories.
- On the relation between cluster and classical tilting.
- From triangulated categories to abelian categories: cluster tilting in a general framework
- Generalized cluster complexes via quiver representations.
- Defining an \(m\)-cluster category.
- Mutation in triangulated categories and rigid Cohen-Macaulay modules
- Tilting theory and cluster combinatorics.
- Rigid modules over preprojective algebras.
- On triangulated orbit categories
- On tilting modules over cluster-tilted algebras.
- Noetherian hereditary abelian categories satisfying Serre duality
- Cluster algebras I: Foundations
- On cluster-tilting objects in a triangulated category with Serre duality
- Cluster-Tilted Algebras and Their Intermediate Coverings
- Cluster structures for 2-Calabi–Yau categories and unipotent groups
- Lifting to Cluster-Tilting Objects in 2-Calabi–Yau Triangulated Categories
- Cluster-tilted algebras
- REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS
- Preprojective algebras and cluster algebras
- Torsion Theories and Tilting Modules
- Tilting Modules and Torsion Theories
- Generalized associahedra via quiver representations
- -tilting theory
- Quivers with relations arising from clusters (𝐴_{𝑛} case)
This page was built for publication: Relative cluster tilting objects in triangulated categories