Coloured quiver mutation for higher cluster categories.

DOI10.1016/j.aim.2009.05.017zbMath1182.16010arXiv0809.0691OpenAlexW2963837060MaRDI QIDQ843232

Hugh Thomas, Aslak Bakke Buan

Publication date: 29 September 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.0691

zbMATH Keywords

cluster algebrascluster categoriesCalabi-Yau categoriesquiver mutationsalmost complete tilting objects

Mathematics Subject Classification ID

Related Items (17)

C-sortable words as green mutation sequences ⋮ Cluster tilting for higher Auslander algebras. ⋮ Exchange graphs and Ext quivers ⋮ Stability conditions and braid group actions on affine An quivers ⋮ Graded quivers and B-branes at Calabi-Yau singularities ⋮ The geometry of Brauer graph algebras and cluster mutations. ⋮ Ext-quivers of hearts of \(A\)-type and the orientations of associahedrons. ⋮ m-cluster tilted algebras of type ⋮ COLORED QUIVERS OF TYPE A AND THE CELL-GROWTH PROBLEM ⋮ Quivers for silting mutation ⋮ Stability conditions on \(\mathrm{CY}_N\) categories associated to \(A_n\)-quivers and period maps ⋮ Morita theorem for hereditary Calabi-Yau categories ⋮ A bijection between \(m\)-cluster-tilting objects and \((m + 2)\)-angulations in \(m\)-cluster categories ⋮ On the classification of duality webs for graded quivers ⋮ Lifting to Cluster-tilting Objects in Higher Cluster Categories ⋮ Finite Repetitive Generalized Cluster Complexes and d-Cluster Categories ⋮ A Geometric Realization of them-cluster Category of Affine TypeA

Cites Work

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• Acyclic Calabi–Yau categories
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• A Geometric Description of them-cluster Categories of TypeDn

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