A remark on a theorem by Claire Amiot

Autor: Bernhard Keller
Rok vydání: 2018
Předmět:
Zdroj: Comptes Rendus Mathematique. 356:984-986
ISSN: 1631-073X
DOI: 10.1016/j.crma.2018.09.003
Popis: 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.
Databáze: OpenAIRE