Exact Hochschild extensions and deformed Calabi-Yau completions

doi:10.1080/00927872.2022.2113402

CSpace

	Exact Hochschild extensions and deformed Calabi-Yau completions
	Han, Yang 1,2; Liu, Xin 1,2; Wang, Kai 1,2
	2022-08-22
发表期刊	COMMUNICATIONS IN ALGEBRA
ISSN	0092-7872
页码	22
摘要	We introduce the Hochschild extensions of dg algebras, which are A(infinity)-algebras. We show that all exact Hochschild extensions are symmetric Hochschild extensions, more precisely, every exact Hochschild extension of a finite dimensional complete typical dg algebra is a symmetric A(infinity)-algebra. Moreover, we prove that the Koszul dual of trivial extension is Calabi-Yau completion and the Koszul dual of exact Hochschild extension is deformed Calabi-Yau completion, more precisely, the Koszul dual of the trivial extension of a finite dimensional complete dg algebra is the Calabi-Yau completion of its Koszul dual, and the Koszul dual of an exact Hochschild extension of a finite dimensional complete typical dg algebra is the deformed Calabi-Yau completion of its Koszul dual.
关键词	A(infinity)-algebra deformed Calabi-Yau completion Hochschild (co)homology Hochschild extension Koszul dual
DOI	10.1080/00927872.2022.2113402
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11571341] ; National Natural Science Foundation of China[11971460]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000843213500001
出版者	TAYLOR & FRANCIS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61073
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Kai
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Han, Yang,Liu, Xin,Wang, Kai. Exact Hochschild extensions and deformed Calabi-Yau completions[J]. COMMUNICATIONS IN ALGEBRA,2022:22.
APA	Han, Yang,Liu, Xin,&Wang, Kai.(2022).Exact Hochschild extensions and deformed Calabi-Yau completions.COMMUNICATIONS IN ALGEBRA,22.
MLA	Han, Yang,et al."Exact Hochschild extensions and deformed Calabi-Yau completions".COMMUNICATIONS IN ALGEBRA (2022):22.