On cohomology theory for topological groups
Identifieur interne : 000159 ( Main/Exploration ); précédent : 000158; suivant : 000160On cohomology theory for topological groups
Auteurs : Arati S. Khedekar [Inde] ; C S Rajan [Inde]Source :
- Proceedings - Mathematical Sciences [ 0253-4142 ] ; 2012-05-01.
English descriptors
Abstract
Abstract: We construct some new cohomology theories for topological groups and Lie groups and study some of its basic properties. For example, we introduce a cohomology theory based on measurable cochains which are continuous in a neighbourhood of the identity. We show that if G and A are locally compact and second countable, then the second cohomology group based on locally continuous measurable cochains as above parametrizes the collection of locally split extensions of G by A.
Url:
DOI: 10.1007/s12044-012-0067-6
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 000576
- to stream Istex, to step Curation: 000576
- to stream Istex, to step Checkpoint: 000125
- to stream Main, to step Merge: 000159
- to stream Main, to step Curation: 000159
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">On cohomology theory for topological groups</title><author><name sortKey="Khedekar, Arati S" sort="Khedekar, Arati S" uniqKey="Khedekar A" first="Arati S" last="Khedekar">Arati S. Khedekar</name></author><author><name sortKey="Rajan, C S" sort="Rajan, C S" uniqKey="Rajan C" first="C S" last="Rajan">C S Rajan</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:1B3B18F7E5BD07075E7FFF5EF6C6121BF12ED6E0</idno><date when="2012" year="2012">2012</date><idno type="doi">10.1007/s12044-012-0067-6</idno><idno type="url">https://api.istex.fr/document/1B3B18F7E5BD07075E7FFF5EF6C6121BF12ED6E0/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">000576</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000576</idno><idno type="wicri:Area/Istex/Curation">000576</idno><idno type="wicri:Area/Istex/Checkpoint">000125</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000125</idno><idno type="wicri:doubleKey">0253-4142:2012:Khedekar A:on:cohomology:theory</idno><idno type="wicri:Area/Main/Merge">000159</idno><idno type="wicri:Area/Main/Curation">000159</idno><idno type="wicri:Area/Main/Exploration">000159</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">On cohomology theory for topological groups</title><author><name sortKey="Khedekar, Arati S" sort="Khedekar, Arati S" uniqKey="Khedekar A" first="Arati S" last="Khedekar">Arati S. Khedekar</name><affiliation wicri:level="1"><country xml:lang="fr">Inde</country><wicri:regionArea>School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Mumbai</wicri:regionArea><wicri:noRegion>Mumbai</wicri:noRegion></affiliation><affiliation wicri:level="1"><country wicri:rule="url">Inde</country></affiliation></author><author><name sortKey="Rajan, C S" sort="Rajan, C S" uniqKey="Rajan C" first="C S" last="Rajan">C S Rajan</name><affiliation wicri:level="1"><country xml:lang="fr">Inde</country><wicri:regionArea>School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005, Mumbai</wicri:regionArea><wicri:noRegion>Mumbai</wicri:noRegion></affiliation><affiliation wicri:level="1"><country wicri:rule="url">Inde</country></affiliation></author></analytic><monogr></monogr><series><title level="j">Proceedings - Mathematical Sciences</title><title level="j" type="abbrev">Proc Math Sci</title><idno type="ISSN">0253-4142</idno><idno type="eISSN">0973-7685</idno><imprint><publisher>Springer-Verlag</publisher><pubPlace>India</pubPlace><date type="published" when="2012-05-01">2012-05-01</date><biblScope unit="volume">122</biblScope><biblScope unit="issue">2</biblScope><biblScope unit="page" from="221">221</biblScope><biblScope unit="page" to="242">242</biblScope></imprint><idno type="ISSN">0253-4142</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0253-4142</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Cohomology theory</term><term>Lie groups</term><term>group extension</term><term>locally compact groups</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: We construct some new cohomology theories for topological groups and Lie groups and study some of its basic properties. For example, we introduce a cohomology theory based on measurable cochains which are continuous in a neighbourhood of the identity. We show that if G and A are locally compact and second countable, then the second cohomology group based on locally continuous measurable cochains as above parametrizes the collection of locally split extensions of G by A.</div></front></TEI><affiliations><list><country><li>Inde</li></country></list><tree><country name="Inde"><noRegion><name sortKey="Khedekar, Arati S" sort="Khedekar, Arati S" uniqKey="Khedekar A" first="Arati S" last="Khedekar">Arati S. Khedekar</name></noRegion><name sortKey="Khedekar, Arati S" sort="Khedekar, Arati S" uniqKey="Khedekar A" first="Arati S" last="Khedekar">Arati S. Khedekar</name><name sortKey="Rajan, C S" sort="Rajan, C S" uniqKey="Rajan C" first="C S" last="Rajan">C S Rajan</name><name sortKey="Rajan, C S" sort="Rajan, C S" uniqKey="Rajan C" first="C S" last="Rajan">C S Rajan</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000159 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000159 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Mathematiques
|area= BourbakiV1
|flux= Main
|étape= Exploration
|type= RBID
|clé= ISTEX:1B3B18F7E5BD07075E7FFF5EF6C6121BF12ED6E0
|texte= On cohomology theory for topological groups
}}
| This area was generated with Dilib version V0.6.33. |  |