Maximal rigid objects without loops in connected 2-CY categories are cluster-tilting objects
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Publication:4983065
DOI10.1142/S0219498815500711zbMath1329.18015arXiv1404.1976MaRDI QIDQ4983065
Publication date: 14 April 2015
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.1976
Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20)
Related Items (4)
Cluster structures in 2-Calabi-Yau triangulated categories of Dynkin type with maximal rigid objects ⋮ Algebras of finite representation type arising from maximal rigid objects ⋮ Maximal rigid subcategories and cluster-tilting subcategories in 2-CY categories ⋮ Homological classification of 4d \(\mathcal{N} = 2\) QFT. Rank-1 revisited
Cites Work
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- Noetherian hereditary abelian categories satisfying Serre duality
- Cluster algebras I: Foundations
- Cluster structures for 2-Calabi–Yau categories and unipotent groups
- Cluster-tilted algebras
- Cluster algebras IV: Coefficients
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