On the Convexity of the Moment Mapping for Unitary Highest Weight Representations
Identifieur interne : 001C29 ( Main/Merge ); précédent : 001C28; suivant : 001C30On the Convexity of the Moment Mapping for Unitary Highest Weight Representations
Auteurs : K. H. Neeb [Allemagne]Source :
- Journal of Functional Analysis [ 0022-1236 ] ; 1995.
Abstract
Abstract: To each continuous unitary representation of a Lie group G on a Hilbert space H we associate a moment map from the projective space of smooth vectors to the dual g* of the Lie algebra of G. For unitary highest weight representations we obtain a characterization of those highest weights for which the closure of the image of this map is convex, i.e., equal to the convex hull of the highest weight orbit. This result generalizes the corresponding result for representations of compact groups and holomorphic discrete series representations.
Url:
DOI: 10.1006/jfan.1995.1014
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 001794
- to stream Istex, to step Curation: 001794
- to stream Istex, to step Checkpoint: 001A10
Links to Exploration step
ISTEX:752EA67FB516FF95A5BC9BA220AF5D75E3EEA333Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">On the Convexity of the Moment Mapping for Unitary Highest Weight Representations</title><author><name sortKey="Neeb, K H" sort="Neeb, K H" uniqKey="Neeb K" first="K. H." last="Neeb">K. H. Neeb</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:752EA67FB516FF95A5BC9BA220AF5D75E3EEA333</idno><date when="1995" year="1995">1995</date><idno type="doi">10.1006/jfan.1995.1014</idno><idno type="url">https://api.istex.fr/document/752EA67FB516FF95A5BC9BA220AF5D75E3EEA333/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">001794</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001794</idno><idno type="wicri:Area/Istex/Curation">001794</idno><idno type="wicri:Area/Istex/Checkpoint">001A10</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">001A10</idno><idno type="wicri:doubleKey">0022-1236:1995:Neeb K:on:the:convexity</idno><idno type="wicri:Area/Main/Merge">001C29</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">On the Convexity of the Moment Mapping for Unitary Highest Weight Representations</title><author><name sortKey="Neeb, K H" sort="Neeb, K H" uniqKey="Neeb K" first="K. H." last="Neeb">K. H. Neeb</name><affiliation wicri:level="3"><country xml:lang="fr">Allemagne</country><wicri:regionArea>Thsch Darmstadt, Fachbereich Math, Arbeitsgrp 5, Schlossgartenstr 7, D 64289 Darmstadt</wicri:regionArea><placeName><region type="land" nuts="1">Hesse (Land)</region><region type="district" nuts="2">District de Darmstadt</region><settlement type="city">Darmstadt</settlement></placeName></affiliation></author></analytic><monogr></monogr><series><title level="j">Journal of Functional Analysis</title><title level="j" type="abbrev">YJFAN</title><idno type="ISSN">0022-1236</idno><imprint><publisher>ELSEVIER</publisher><date type="published" when="1995">1995</date><biblScope unit="volume">127</biblScope><biblScope unit="issue">2</biblScope><biblScope unit="page" from="301">301</biblScope><biblScope unit="page" to="325">325</biblScope></imprint><idno type="ISSN">0022-1236</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0022-1236</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: To each continuous unitary representation of a Lie group G on a Hilbert space H we associate a moment map from the projective space of smooth vectors to the dual g* of the Lie algebra of G. For unitary highest weight representations we obtain a characterization of those highest weights for which the closure of the image of this map is convex, i.e., equal to the convex hull of the highest weight orbit. This result generalizes the corresponding result for representations of compact groups and holomorphic discrete series representations.</div></front></TEI></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Main/Merge
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001C29 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Merge/biblio.hfd -nk 001C29 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Mathematiques
|area= BourbakiV1
|flux= Main
|étape= Merge
|type= RBID
|clé= ISTEX:752EA67FB516FF95A5BC9BA220AF5D75E3EEA333
|texte= On the Convexity of the Moment Mapping for Unitary Highest Weight Representations
}}
| This area was generated with Dilib version V0.6.33. |  |