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arXiv · 1806.00635

A remark on a theorem by C. Amiot

Bernhard Keller
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Abstract

C. 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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Bernhard Keller. 2018-06-02. A remark on a theorem by C. Amiot. https://arxiv.org/abs/1806.00635

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