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- W2949312257 abstract "Let $H$ be a finite dimensional hereditary algebra over an algebraically closed field, and let $mathcal{C}_{H}$ be the corresponding cluster category. We give a description of the (standard) fundamental domain of $mathcal{C}_{H} in the bounded derived category $mathcal{D}^{b}(H)$, and of the cluster-tilting objects, in terms of the category $modGamma $ of finitely generated modules over a suitable tilted algebra $% Gamma .$ Furthermore, we apply this description to obtain (the quiver of) an arbitrary cluster-tilted algebra." @default.
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- W2949312257 date "2011-12-26" @default.
- W2949312257 modified "2023-09-27" @default.
- W2949312257 title "Fundamental domains of cluster categories inside module categories" @default.
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