Schur functors on QF-3 standardly stratified algebras
文献类型：期刊论文
| 作者 | Fang, Ming
|
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000254579200013 |
| 出版者 | SPRINGER HEIDELBERG |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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