SCHUR FUNCTORS AND DOMINANT DIMENSION
文献类型：期刊论文
| 作者 | Fang, Ming1 ; Koenig, Steffen2
|
| 刊名 | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2011-03-01 |
| 卷号 | 363期号:3页码:1555-1576 |
| 关键词 | Schur functor dominant dimension quasi-hereditary algebra |
| ISSN号 | 0002-9947 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000290920700019 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13159]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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