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- W2963607213 abstract "Let Q be an acyclic quiver. Associated with any element w of the Coxeter group of Q, triangulated categories Sub̲Λw were introduced in Buan et al. (2009) [BIRS09]. For any reduced expression w of w, the categories Sub̲Λw are shown to be triangle equivalent to generalized cluster categories CΓw associated to algebras Γw of global dimension ⩽2 in Amiot et al. (2011) [ART11]. For w satisfying a certain property, called co-c-sortable, other algebras Aw of global dimension ⩽2 are constructed in Amiot (2009) [Ami09] and Amiot et al. (2011) [AIRT11] with a triangle equivalence CAw≃Sub̲Λw. The main result of this paper is that the algebras Γw and Aw are derived equivalent when w is co-c-sortable. The proof constructs explicitly a tilting module using the 2-APR-tilting theory introduced in Iyama and Oppermann (2011) [IO09]." @default.
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- W2963607213 date "2012-02-01" @default.
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- W2963607213 title "A derived equivalence between cluster equivalent algebras" @default.
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- W2963607213 doi "https://doi.org/10.1016/j.jalgebra.2011.11.009" @default.
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