2013/08/10 by Zhe Han, Han Zhe, Zhe, Han · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.RT
paper · pdf · doi:10.48550/arxiv.1308.2336
10 pages
openalex publication_date 2013/08/10 · arxiv created 2014/12/02 · arxiv updated 2014/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study generic objects in triangulated categories and characterize the finite dimensional algebras A such that the derived categories D(\Mod A) are generically trivial. This is an analogue of a result of Crawley-Boevey for module categories. As a consequence, we show that D(\Mod A) is generically trivial if and only if the category of perfect complexes Kb(\proj A) is locally finite.