Inversions in classical weyl groups
文献类型:期刊论文
作者 | Ding, Kequan; Wu, Siye |
刊名 | Communications in contemporary mathematics
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出版日期 | 2007-02-01 |
卷号 | 9期号:1页码:1-20 |
关键词 | Weyl group Inversion set Flag manifold |
ISSN号 | 0219-1997 |
通讯作者 | Ding, kequan(kqding@yahoo.com) |
英文摘要 | We introduce inversions for classical weyl group elements and relate them, by counting, to the length function, root systems and schubert cells in flag manifolds. special inversions are those that only change signs in the weyl groups of types b-n, c-n and d-n. their counting is related to the (only) generator of the weyl group that changes signs, to the corresponding roots, and to a special subvariety in the flag manifold fixed by a finite group. |
WOS关键词 | STATISTICS |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000250843600001 |
出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
URI标识 | http://www.irgrid.ac.cn/handle/1471x/2175867 |
专题 | 高能物理研究所 |
通讯作者 | Ding, Kequan |
作者单位 | 1.Chinese Acad Sci, Sci Labs 100, Beijing 100049, Peoples R China 2.Dalian Univ Technol, Coll Adv Sci & Technol, Dalian 116023, Peoples R China 3.Univ Colorado, Dept Math, Boulder, CO 80309 USA |
推荐引用方式 GB/T 7714 | Ding, Kequan,Wu, Siye. Inversions in classical weyl groups[J]. Communications in contemporary mathematics,2007,9(1):1-20. |
APA | Ding, Kequan,&Wu, Siye.(2007).Inversions in classical weyl groups.Communications in contemporary mathematics,9(1),1-20. |
MLA | Ding, Kequan,et al."Inversions in classical weyl groups".Communications in contemporary mathematics 9.1(2007):1-20. |
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来源:高能物理研究所
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