SCHUR FUNCTORS AND DOMINANT DIMENSION

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	SCHUR FUNCTORS AND DOMINANT DIMENSION
	Fang, Ming1 ; Koenig, Steffen 2
	2011-03-01
发表期刊	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9947
卷号	363 期号:3 页码:1555-1576
摘要	The dominant dimension of an algebra A provides information about the connection between A-mod and B-mod for B = eAe, a certain centralizer subalgebra of A. Well-known examples of such a situation are the connection (given by Schur-Weyl duality) between Schur algebras and group algebras of symmetric groups, and the connection (given by Soergel's 'Struktursatz') between blocks of the category O of a complex semisimple Lie algebra and the coinvariant algebra. We study cohomological aspects of such connections, in the framework of highest weight categories. In this setup we characterize the dominant dimension of A by the vanishing of certain extension groups over A, we determine the range of degrees, for which certain cohomology groups over A and over eAe get identified, we show that Ringel duality does not change dominant dimensions and we determine the dominant dimension of Schur algebras.
关键词	Schur functor dominant dimension quasi-hereditary algebra
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000290920700019
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/13160
专题	数学所
通讯作者	Fang, Ming
作者单位	1.Chinese Acad Sci, Inst Math, Beijing 100190, Peoples R China 2.Univ Cologne, Math Inst, D-50931 Cologne, Germany
推荐引用方式 GB/T 7714	Fang, Ming,Koenig, Steffen. SCHUR FUNCTORS AND DOMINANT DIMENSION[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2011,363(3):1555-1576.
APA	Fang, Ming,&Koenig, Steffen.(2011).SCHUR FUNCTORS AND DOMINANT DIMENSION.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,363(3),1555-1576.
MLA	Fang, Ming,et al."SCHUR FUNCTORS AND DOMINANT DIMENSION".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 363.3(2011):1555-1576.