On Modules over Endomorphism Algebras of Maximal Rigid Objects in 2-Calabi-Yau Triangulated Categories

DOI10.1080/00927872.2013.809531zbMath1305.18049OpenAlexW2086974704MaRDI QIDQ2876288

Yunli Xie, Pin Liu

Publication date: 18 August 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2013.809531

zbMATH Keywords

tilting modulemaximal rigid object2-Calabi-Yau category

Mathematics Subject Classification ID

Module categories in associative algebras (16D90)

Related Items (3)

Relative rigid objects in triangulated categories ⋮ Modules of infinite projective dimension ⋮ On support \(\tau\)-tilting modules over endomorphism algebras of rigid objects

Cites Work

• Maximal rigid subcategories in 2-Calabi-Yau triangulated categories.
• Projective dimension of modules over cluster-tilted algebras.
• Cluster structures from 2-Calabi-Yau categories with loops
• Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
• On the relation between cluster and classical tilting.
• On a simplicial complex associated with tilting modules
• The Grothendieck group of a cluster category.
• From triangulated categories to abelian categories: cluster tilting in a general framework
• Cluster tilting for one-dimensional hypersurface singularities
• Mutation in triangulated categories and rigid Cohen-Macaulay modules
• Lifting to maximal rigid objects in 2-Calabi-Yau triangulated categories
• Endomorphism rings of maximal rigid objects in cluster tubes
• Cluster structures for 2-Calabi–Yau categories and unipotent groups
• Lifting to Cluster-Tilting Objects in 2-Calabi–Yau Triangulated Categories
• Cluster-tilted algebras
• Endomorphism Algebras of Maximal Rigid Objects in Cluster Tubes

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