Mutation classes of $\widetilde A_n$-quivers and derived equivalence classification of cluster tilted algebras of type $\widetilde A_n$.

DOI10.2140/ant.2011.5.567zbMath1263.16019arXiv0901.1515OpenAlexW2951843638MaRDI QIDQ435250

Publication date: 11 July 2012

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.1515

zbMATH Keywords

derived equivalences tilting complexes gentle algebras cluster tilted algebras quiver mutations

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of quivers and partially ordered sets (16G20) Localization of categories, calculus of fractions (18E35) Derived categories and associative algebras (16E35)

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Mutation classes of \(\widetilde A_n\)-quivers and derived equivalence classification of cluster tilted algebras of type \(\widetilde A_n\).