Lifting to Cluster-Tilting Objects in 2-Calabi–Yau Triangulated Categories
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Publication:3395205
DOI10.1080/00927870802263265zbMath1175.18004arXiv0712.2370OpenAlexW1965217736MaRDI QIDQ3395205
Publication date: 24 August 2009
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.2370
Related Items
Relative cluster tilting objects in triangulated categories ⋮ On tilting modules over cluster-tilted algebras. ⋮ Rigid objects, triangulated subfactors and abelian localizations ⋮ Lifting to two-term relative maximal rigid subcategories in triangulated categories ⋮ On cluster-tilting objects in a triangulated category with Serre duality ⋮ -tilting theory ⋮ On the relation between cluster and classical tilting. ⋮ On support \(\tau\)-tilting modules over endomorphism algebras of rigid objects ⋮ Triangulated categories with cluster tilting subcategories ⋮ Lifting to maximal rigid objects in 2-Calabi-Yau triangulated categories ⋮ Lifting to relative cluster tilting objects in $2n$-Calabi–Yau $(n+2)$-angulated categories ⋮ FRIEZES, STRINGS AND CLUSTER VARIABLES ⋮ Lifting to Cluster-tilting Objects in Higher Cluster Categories ⋮ Modules Over Cluster-Tilted Algebras Determined by Their Dimension Vectors ⋮ On Modules over Endomorphism Algebras of Maximal Rigid Objects in 2-Calabi-Yau Triangulated Categories
Cites Work
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- Cluster algebras. II: Finite type classification
- Cluster algebras. III: Upper bounds and double Bruhat cells.
- Tilting theory and cluster combinatorics.
- Rigid modules over preprojective algebras.
- Noetherian hereditary abelian categories satisfying Serre duality
- Cluster algebras I: Foundations
- Cluster-tilted algebras
- Cluster algebras IV: Coefficients
- Quivers with relations arising from clusters (𝐴_{𝑛} case)
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