Schur functors on QF-3 standardly stratified algebras

doi:10.1007/s10114-007-0984-y

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	Schur functors on QF-3 standardly stratified algebras
	Fang, Ming
刊名	ACTA MATHEMATICA SINICA-ENGLISH SERIES
	2008-02-01
卷号	24 期号:2 页码:311-318
关键词	Schur functor dominant dimension QF-3 algebra standardly stratified algebra
ISSN号	1439-8516
DOI	10.1007/s10114-007-0984-y
英文摘要	Let A be a QF-3 standardly stratified algebra and f be a Schur functor corresponding to some projective-injective faithful A-module, denoted by Ae. The main result of this paper is to prove that, if the dominant dimension of A is sufficiently large, then f induces a full embedding from F(Delta) to eAe-mod which preserves Ext-groups up to certain degrees, where F(Delta) denotes the full subcategory of A-mod whose objects are filtered by standard A-modules. We check this criterion on some typical examples, quantized Schur algebras S-q(n, r) with n >= r and finite-dimensional algebras associated with the Bernstein-Celfand-Celfand category O of semisimple complex Lie algebras.
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000254579200013
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/5951]
专题	数学所
通讯作者	Fang, Ming
作者单位	Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Fang, Ming. Schur functors on QF-3 standardly stratified algebras[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2008,24(2):311-318.
APA	Fang, Ming.(2008).Schur functors on QF-3 standardly stratified algebras.ACTA MATHEMATICA SINICA-ENGLISH SERIES,24(2),311-318.
MLA	Fang, Ming."Schur functors on QF-3 standardly stratified algebras".ACTA MATHEMATICA SINICA-ENGLISH SERIES 24.2(2008):311-318.