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Article: Inversions in classical Weyl groups

TitleInversions in classical Weyl groups
Authors
Ding, KWu, S
KeywordsFlag manifold
Inversion set
Weyl group
Issue Date2007
PublisherWorld Scientific Publishing Co Pte Ltd. The Journal's web site is located at http://www.worldscinet.com/ccm/ccm.shtml
Citation
Communications In Contemporary Mathematics, 2007, v. 9 n. 1, p. 1-20 How to Cite?
DOI: http://dx.doi.org/10.1142/S0219199707002071
AbstractWe 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 Bn, Cn and Dn. 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. © World Scientific Publishing Company.
Persistent Identifierhttp://hdl.handle.net/10722/75123
ISSN
0219-1997
2021 Impact Factor: 1.708
2020 SCImago Journal Rankings: 1.397
ISI Accession Number ID
WOS:000250843600001
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorDing, Ken_HK
dc.contributor.authorWu, Sen_HK
dc.date.accessioned2010-09-06T07:08:08Z-
dc.date.available2010-09-06T07:08:08Z-
dc.date.issued2007en_HK
dc.identifier.citationCommunications In Contemporary Mathematics, 2007, v. 9 n. 1, p. 1-20en_HK
dc.identifier.issn0219-1997en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75123-
dc.description.abstractWe 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 Bn, Cn and Dn. 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. © World Scientific Publishing Company.en_HK
dc.languageengen_HK
dc.publisherWorld Scientific Publishing Co Pte Ltd. The Journal's web site is located at http://www.worldscinet.com/ccm/ccm.shtmlen_HK
dc.relation.ispartofCommunications in Contemporary Mathematicsen_HK
dc.subjectFlag manifolden_HK
dc.subjectInversion seten_HK
dc.subjectWeyl groupen_HK
dc.titleInversions in classical Weyl groupsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0219-1997&volume=9 No1&spage=1&epage=20&date=2007&atitle=Inversions+in+classical+Weyl+groupsen_HK
dc.identifier.emailWu, S:swu@maths.hku.hken_HK
dc.identifier.authorityWu, S=rp00814en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1142/S0219199707002071en_HK
dc.identifier.scopuseid_2-s2.0-33846431601en_HK
dc.identifier.hkuros128449en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33846431601&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume9en_HK
dc.identifier.issue1en_HK
dc.identifier.spage1en_HK
dc.identifier.epage20en_HK
dc.identifier.isiWOS:000250843600001-
dc.publisher.placeSingaporeen_HK
dc.identifier.scopusauthoridDing, K=7103197886en_HK
dc.identifier.scopusauthoridWu, S=15830510400en_HK
dc.identifier.issnl0219-1997-

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