A relation between tilting graphs and cluster-tilting graphs of hereditary algebras.

DOI10.1007/S11464-015-0426-6zbMath1346.16010OpenAlexW2081003861MaRDI QIDQ893325

Fang Li, Yi-chao Yang

Publication date: 19 November 2015

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-015-0426-6

zbMATH Keywords

hereditary algebrasStasheff polytopescluster categoriescluster-tilting graphslinear quiverstilting graphs

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20)

Cites Work

• Cluster algebras and triangulated surfaces. I: Cluster complexes
• On a simplicial complex associated with tilting modules
• \(Y\)-systems and generalized associahedra
• On the quiver of tilting modules.
• On the genus of the graph of tilting modules.
• Mutation in triangulated categories and rigid Cohen-Macaulay modules
• Tilting theory and cluster combinatorics.
• On triangulated orbit categories
• Cluster algebras I: Foundations
• Representation theory of artin algebras iii almost split sequences
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