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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
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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