Cluster tilting objects in generalized higher cluster categories.
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Publication:538049
DOI10.1016/j.jpaa.2010.11.015zbMath1239.16012arXiv1005.3564OpenAlexW1989679120MaRDI QIDQ538049
Publication date: 23 May 2011
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.3564
derived categoriesdifferential graded algebrasCalabi-Yau categoriescluster tilting objectsgeneralized cluster categoriesgraded quiversHom-finite categories
Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of quivers and partially ordered sets (16G20) Differential graded algebras and applications (associative algebraic aspects) (16E45) Cluster algebras (13F60)
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Cites Work
- Unnamed Item
- 2-Calabi-Yau tilted algebras.
- Higher-dimensional cluster combinatorics and representation theory
- Cluster categories for algebras of global dimension 2 and quivers with potential.
- Cluster-tilted algebras of finite representation type.
- Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
- Cluster algebras and quantum affine algebras
- Rigid objects in higher cluster categories
- Cluster combinatorics of \(d\)-cluster categories.
- \(m\)-cluster categories and \(m\)-replicated algebras.
- Defining an \(m\)-cluster category.
- Mutation in triangulated categories and rigid Cohen-Macaulay modules
- From triangulated categories to cluster algebras
- Cluster algebras as Hall algebras of quiver representations.
- Tilting theory and cluster combinatorics.
- On triangulated orbit categories
- From triangulated categories to cluster algebras II
- A geometric description of $m$-cluster categories
- Acyclic Calabi–Yau categories
- Deriving DG categories
- Clusters and seeds in acyclic cluster algebras
- A Geometric Description of them-cluster Categories of TypeDn
- Quivers with relations arising from clusters (𝐴_{𝑛} case)
