ENHANCED FINITE TRIANGULATED CATEGORIES

被引：4
作者：
Muro, Fernando [1 ]
机构：
[1] Univ Seville, Fac Matemat, Dept Algebra, Avda Reina Mercedes S-N, Seville 41012, Spain
来源：
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2022年 / 21卷 / 03期
关键词：
Triangulated category; A-infinity category; Hochschild cohomology; spectral sequence; obstruction theory; DEFORMED PREPROJECTIVE ALGEBRAS; SELF-INJECTIVE ALGEBRAS; STABLE-HOMOTOPY CATEGORY; HOCHSCHILD COHOMOLOGY; THEOREM; UNIQUENESS; MODEL; CLASSIFICATION; MODULES; RINGS;
D O I：
10.1017/S1474748020000250
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a necessary and sufficient condition for the existence of an enhancement of a finite triangulated category. Moreover, we show that enhancements are unique when they exist, up to Morita equivalence.
引用
收藏
页码：741 / 783
页数：43
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