Derived Picard groups of homologically smooth Koszul DG algebras

JOURNAL OF ALGEBRA

卷:531

Article

Mao, X-F¹  Yang, Y-N¹  He, J-W² 

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Hangzhou Normal Univ, Dept Math, 16 Xuelin Rd, Hangzhou 310036, Zhejiang, Peoples R China

关键词: DG algebra;    Koszul;    Homologically smooth;    Derived Picard group;   

DOI  :  10.1016/j.jalgebra.2019.04.029

来源: Elsevier

【 摘 要 】

In this paper, we show that the derived Picard group of a homologically smooth Koszul connected cochain DC algebra is isomorphic to the opposite group of the derived Picard group of its finite dimensional local Ext-algebra. As applications, we compute the derived Picard groups of some important DC algebras such as trivial DG polynomial algebras, trivial DC free algebras and several non-trivial DG down-up algebras and DG free algebras. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free