A remark on a theorem by Claire Amiot |
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Authors: | Bernhard Keller |
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Institution: | Université Paris-Diderot – Paris 7, UFR de Mathématiques, Institut de mathématiques de Jussieu–PRG, UMR 7586 du CNRS, Case 7012, bâtiment Chevaleret, 75205 Paris cedex 13, France |
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Abstract: | Claire Amiot has classified the connected triangulated k-categories with finitely many isoclasses of indecomposables satisfying suitable hypotheses. We remark that her proof shows that these triangulated categories are determined by their underlying k-linear categories. We observe that, if the connectedness assumption is dropped, the triangulated categories are still determined by their underlying k-categories together with the action of the suspension functor on the set of isoclasses of indecomposables. |
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