Torsion pairs in finite 2-Calabi-Yau triangulated categories with maximal rigid objects
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Publication:5382965
DOI10.1080/00927872.2018.1539741zbMath1435.18014arXiv1608.03734OpenAlexW2963406012WikidataQ128538223 ScholiaQ128538223MaRDI QIDQ5382965
Publication date: 19 June 2019
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.03734
Related Items (2)
Ptolemy diagrams and cotorsion pairs in m-cluster categories of type A ⋮ Cotorsion pairs in cluster categories of type \(A_\infty^\infty\)
Cites Work
- Unnamed Item
- General heart construction for twin torsion pairs on triangulated categories
- General heart construction on a triangulated category. I: Unifying \(t\)-structures and cluster tilting subcategories
- Maximal rigid subcategories in 2-Calabi-Yau triangulated categories.
- General heart construction on a triangulated category. II: Associated homological functor
- Cluster structures from 2-Calabi-Yau categories with loops
- Ptolemy diagrams and torsion pairs in the cluster category of Dynkin type \(A _{n }\)
- Ptolemy diagrams and torsion pairs in the cluster categories of Dynkin type \(D\)
- Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
- Algebras of finite representation type arising from maximal rigid objects
- Torsion pairs in a triangulated category generated by a spherical object
- Cluster algebras. II: Finite type classification
- \(Y\)-systems and generalized associahedra
- Torsion pairs and rigid objects in tubes.
- Locally finite triangulated categories.
- Cotorsion pairs in the cluster category of a marked surface
- Torsion pairs in cluster tubes
- From triangulated categories to abelian categories: cluster tilting in a general framework
- A geometric model for cluster categories of type \(D_n\).
- Cluster tilting for one-dimensional hypersurface singularities
- Mutation in triangulated categories and rigid Cohen-Macaulay modules
- Tilting theory and cluster combinatorics.
- Rigid modules over preprojective algebras.
- On triangulated orbit categories
- Cluster algebras I: Foundations
- T -structures and torsion pairs in a 2-Calabi-Yau triangulated category
- A Torsion Theory for Abelian Categories
- Quivers with relations arising from clusters (𝐴_{𝑛} case)
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