Complements of tableaux and straightening bideterminants
文献类型：期刊论文
| 作者 | Fang, Ming
|
| 刊名 | JOURNAL OF ALGEBRA
 |
| 出版日期 | 2009-08-15 |
| 卷号 | 322期号:4页码:1170-1186 |
| 关键词 | Tableaux Complements Bideterminant Straightening algorithm |
| ISSN号 | 0021-8693 |
| DOI | 10.1016/j.jalgebra.2009.01.003 |
| 英文摘要 | In this paper, we study the combinatorics related to complements of tableaux. Using the representation theory of general linear groups and a known construction of the dual Weyl modules, we obtain a new straightening algorithm for bideterminants and prove that it is compatible with the complement construction of tableaux. As an application. we get a purely combinatorial construction of the isomorphisms between generalized (classical) Schur algebras introduced first by Henke, Koenig and the author. (C) 2009 Elsevier Inc. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000267952800014 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7861]  |
| 专题 | 数学所 |
| 通讯作者 | Fang, Ming |
| 作者单位 | Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fang, Ming. Complements of tableaux and straightening bideterminants[J]. JOURNAL OF ALGEBRA,2009,322(4):1170-1186. |
| APA | Fang, Ming.(2009).Complements of tableaux and straightening bideterminants.JOURNAL OF ALGEBRA,322(4),1170-1186. |
| MLA | Fang, Ming."Complements of tableaux and straightening bideterminants".JOURNAL OF ALGEBRA 322.4(2009):1170-1186. |
入库方式： OAI收割
来源：数学与系统科学研究院
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