Auslander Correspondence for Triangulated Categories

Autor:	Hanihara, Norihiro
Rok vydání:	2018
Předmět:	Mathematics - Representation Theory Mathematics - Category Theory 18E30 16E65 16G70 16E05
Zdroj:	Alg. Number Th. 14 (2020) 2037-2058
Druh dokumentu:	Working Paper
DOI:	10.2140/ant.2020.14.2037
Popis:	We give analogues of the Auslander correspondence for two classes of triangulated categories satisfying certain finiteness conditions. The first class is triangulated categories with additive generators and we consider their endomorphism algebras as the Auslander algebras. For the second one, we introduce the notion of $[1]$-additive generators and consider their graded endormorphism algebras as the Auslander algebras. We give a homological characterization of the Auslander algebras for each class. Along the way, we also show that the algebraic triangle structures on the homotopy categories are unique up to equivalence. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.07585 Zobrazit plný text záznamu View this record from Arxiv