Algorithm for multiplying Schubert classes
文献类型：期刊论文
| 作者 | Duan, Haibao ; Zhao, Xuezhi
|
| 刊名 | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
 |
| 出版日期 | 2006-12-01 |
| 卷号 | 16期号:6页码:1197-1210 |
| 关键词 | flag manifolds Schubert varieties cohomology Cartan matrix |
| ISSN号 | 0218-1967 |
| 英文摘要 | Based on the formula for multiplying Schubert classes obtained in [17], we develop an algorithm computing the product of two arbitrary Schubert classes in a flag manifold G/H, where G is a compact connected Lie group and H C G is the centralizer of a one-parameter subgroup in G. Since all Schubert classes on G/H constitute a basis for the integral cohomology H*(G/H), the algorithm gives also a method to compute the integral cohomology ring H*(G/H) independent of the classical spectral sequence method of Leray and Borel [32, 33, 8, 9]. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000243702300010 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3344]  |
| 专题 | 数学所 |
| 通讯作者 | Duan, Haibao |
| 作者单位 | 1.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China 2.Capital Normal Univ, Dept Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Duan, Haibao,Zhao, Xuezhi. Algorithm for multiplying Schubert classes[J]. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION,2006,16(6):1197-1210. |
| APA | Duan, Haibao,&Zhao, Xuezhi.(2006).Algorithm for multiplying Schubert classes.INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION,16(6),1197-1210. |
| MLA | Duan, Haibao,et al."Algorithm for multiplying Schubert classes".INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 16.6(2006):1197-1210. |
入库方式： OAI收割
来源：数学与系统科学研究院
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