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Article: On intersections of certain partitions of a group compactification

TitleOn intersections of certain partitions of a group compactification
Authors
Issue Date2011
PublisherOxford University Press. The Journal's web site is located at http://imrn.oxfordjournals.org/
Citation
International Mathematics Research Notices, 2011, v. 2011 n. 11, p. 2534-2564 How to Cite?
AbstractLet G be a connected semi-simple algebraic group of adjoint type over an algebraically closed field and let be the wonderful compactification of G. For a fixed pair (B,B-) of opposite Borel subgroups of G, we look at intersections of Lusztig's G-stable pieces and the B-×B-orbits in, as well as intersections of B×B-orbits and B-×B --orbits in. We give explicit conditions for such intersections to be nonempty, and in each case, we show that every nonempty intersection is smooth and irreducible, that the closure of the intersection is equal to the intersection of the closures, and that the nonempty intersections form a strongly admissible partition of G. © The Author(s) 2010. Published by Oxford University Press. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/135155
ISSN
2015 Impact Factor: 1.031
2015 SCImago Journal Rankings: 2.052
ISI Accession Number ID
Funding AgencyGrant Number
Research Grants Council of the Hong Kong Special Administrative Region, China601409
DAG08/09.SC03
HKU 7034/05P
037/07P
Funding Information:

This work was partially supported by the Research Grants Council of the Hong Kong Special Administrative Region, China (601409, DAG08/09.SC03 to X. H.) and (HKU 7034/05P and 037/07P to J.-H.L.).

References
Grants

 

DC FieldValueLanguage
dc.contributor.authorHe, Xen_HK
dc.contributor.authorLu, JHen_HK
dc.date.accessioned2011-07-27T01:29:09Z-
dc.date.available2011-07-27T01:29:09Z-
dc.date.issued2011en_HK
dc.identifier.citationInternational Mathematics Research Notices, 2011, v. 2011 n. 11, p. 2534-2564en_HK
dc.identifier.issn1073-7928en_HK
dc.identifier.urihttp://hdl.handle.net/10722/135155-
dc.description.abstractLet G be a connected semi-simple algebraic group of adjoint type over an algebraically closed field and let be the wonderful compactification of G. For a fixed pair (B,B-) of opposite Borel subgroups of G, we look at intersections of Lusztig's G-stable pieces and the B-×B-orbits in, as well as intersections of B×B-orbits and B-×B --orbits in. We give explicit conditions for such intersections to be nonempty, and in each case, we show that every nonempty intersection is smooth and irreducible, that the closure of the intersection is equal to the intersection of the closures, and that the nonempty intersections form a strongly admissible partition of G. © The Author(s) 2010. Published by Oxford University Press. All rights reserved.en_HK
dc.languageengen_US
dc.publisherOxford University Press. The Journal's web site is located at http://imrn.oxfordjournals.org/en_HK
dc.relation.ispartofInternational Mathematics Research Noticesen_HK
dc.titleOn intersections of certain partitions of a group compactificationen_HK
dc.typeArticleen_HK
dc.identifier.emailLu, JH:jhluhku@hku.hken_HK
dc.identifier.authorityLu, JH=rp00753en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1093/imrn/rnq169en_HK
dc.identifier.scopuseid_2-s2.0-79957829307en_HK
dc.identifier.hkuros211933-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79957829307&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume2011en_HK
dc.identifier.issue11en_HK
dc.identifier.spage2534en_HK
dc.identifier.epage2564en_HK
dc.identifier.eissn1687-0247-
dc.identifier.isiWOS:000291058800006-
dc.publisher.placeUnited Statesen_HK
dc.relation.projectOn intersections of real group orbits and Schubert cells in complex flag varities-
dc.identifier.scopusauthoridHe, X=35092561800en_HK
dc.identifier.scopusauthoridLu, JH=35790078400en_HK

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