HOCHSCHILD COHOMOLOGY AND DOMINANT DIMENSION

doi:10.1090/tran/7704

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	HOCHSCHILD COHOMOLOGY AND DOMINANT DIMENSION
	Fang, Ming1,2 ; Miyachi, Hyohe 3
	2019-04-15
发表期刊	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9947
卷号	371 期号:8 页码:5267-5292
摘要	A new approach is established to compare Hochschild cohomologies of an algebra and of its centralizer subalgebras. This approach is based on dominant dimension, a homological dimension that is shown to control the comparison in a precise sense for a large class of algebras including classical and quantized Schur algebras. For the same class of algebras, it is shown that derived equivalences preserve dominant dimension. This is applied to determine the dominant dimensions of q-Schur algebras and of their blocks.
关键词	Hochschild cohomology dominant dimension Schur algebra
DOI	10.1090/tran/7704
语种	英语
资助项目	National Natural Science Foundation of China[11471315] ; National Natural Science Foundation of China[11321101] ; JSPS[24740011]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000464034200002
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34447
专题	数学所
通讯作者	Fang, Ming
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Osaka City Univ, Dept Math, Osaka 5588285, Japan
推荐引用方式 GB/T 7714	Fang, Ming,Miyachi, Hyohe. HOCHSCHILD COHOMOLOGY AND DOMINANT DIMENSION[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2019,371(8):5267-5292.
APA	Fang, Ming,&Miyachi, Hyohe.(2019).HOCHSCHILD COHOMOLOGY AND DOMINANT DIMENSION.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,371(8),5267-5292.
MLA	Fang, Ming,et al."HOCHSCHILD COHOMOLOGY AND DOMINANT DIMENSION".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 371.8(2019):5267-5292.