Graded mutation in cluster categories coming from hereditary categories with a tilting object.

DOI10.1016/j.jpaa.2012.04.012zbMath1286.16013arXiv1009.4812OpenAlexW2045077129MaRDI QIDQ1940209

Steffen Oppermann, Marco Angel Bertani-Økland, Anette Wrålsen

Publication date: 6 March 2013

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.4812

zbMATH Keywords

derived categoriesderived equivalencesquiverscoherent sheavescluster-tilted algebrascluster categoriesexceptional sequencescluster-tilting objectsorbit categoriesweighted projective linestilting objectsfinite dimensional hereditary algebrasconnected hereditary categoriesgraded mutations

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10) Abelian categories, Grothendieck categories (18E10) Derived categories and associative algebras (16E35)

Related Items

Tubular cluster algebras. II: Exponential growth ⋮ Mutating loops and 2-cycles in 2-CY triangulated categories.

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