A note on Bridgeland Hall algebras

被引：12
作者：
Zhang, Haicheng [1 ]
机构：
[1] Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2018年 / 46卷 / 06期
关键词：
Bridgeland Hall algebras; cyclic complexes; Drinfeld double Hall algebras; QUANTUM GROUPS; LIE-ALGEBRAS; CATEGORIES; COMPLEXES;
D O I：
10.1080/00927872.2017.1388812
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, let ? be a finitary hereditary abelian category with enough projectives. By using the associativity formula of Hall algebras, we give a new proof of the main theorem in [17], which states that the Bridgeland Hall algebra of 2-cyclic complexes of projective objects in ? is isomorphic to the Drinfeld double Hall algebra of A.
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页码：2551 / 2560
页数：10
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