HOCHSCHILD COHOMOLOGY AND DOMINANT DIMENSION

doi:10.1090/tran/7704

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 数学所

	HOCHSCHILD COHOMOLOGY AND DOMINANT DIMENSION
	Fang, Ming2,3 ; Miyachi, Hyohe 1
刊名	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
	2019-04-15
卷号	371 期号:8 页码:5267-5292
关键词	Hochschild cohomology dominant dimension Schur algebra
ISSN号	0002-9947
DOI	10.1090/tran/7704
英文摘要	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.
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
语种	英语
出版者	AMER MATHEMATICAL SOC
WOS记录号	WOS:000464034200002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/34446]
专题	数学所
通讯作者	Fang, Ming
作者单位	1.Osaka City Univ, Dept Math, Osaka 5588285, Japan 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
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.