A Homotopy in the Usual Cochain Complex of Free Lie Algebras
Identifieur interne : 001954 ( Main/Exploration ); précédent : 001953; suivant : 001955A Homotopy in the Usual Cochain Complex of Free Lie Algebras
Auteurs : Alexandros Patsourakos [Grèce]Source :
- Letters in Mathematical Physics [ 0377-9017 ] ; 1997-09-01.
English descriptors
Abstract
Abstract: In this Letter, we construct a natural contracting homotopy in the usual cochain complex of free Lie algebras. As a consequence, we prove that the triple cohomology of Lie algebras coincides with a slightly different form of the standard cohomology theory.
Url:
DOI: 10.1023/A:1007312205995
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 002C26
- to stream Istex, to step Curation: 002C26
- to stream Istex, to step Checkpoint: 001792
- to stream Main, to step Merge: 001972
- to stream Main, to step Curation: 001954
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">A Homotopy in the Usual Cochain Complex of Free Lie Algebras</title>
<author><name sortKey="Patsourakos, Alexandros" sort="Patsourakos, Alexandros" uniqKey="Patsourakos A" first="Alexandros" last="Patsourakos">Alexandros Patsourakos</name>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:D791FCEE2BDF4F2F65504B3DD1929629C4BFDF55</idno>
<date when="1997" year="1997">1997</date>
<idno type="doi">10.1023/A:1007312205995</idno>
<idno type="url">https://api.istex.fr/document/D791FCEE2BDF4F2F65504B3DD1929629C4BFDF55/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">002C26</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">002C26</idno>
<idno type="wicri:Area/Istex/Curation">002C26</idno>
<idno type="wicri:Area/Istex/Checkpoint">001792</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">001792</idno>
<idno type="wicri:doubleKey">0377-9017:1997:Patsourakos A:a:homotopy:in</idno>
<idno type="wicri:Area/Main/Merge">001972</idno>
<idno type="wicri:Area/Main/Curation">001954</idno>
<idno type="wicri:Area/Main/Exploration">001954</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">A Homotopy in the Usual Cochain Complex of Free Lie Algebras</title>
<author><name sortKey="Patsourakos, Alexandros" sort="Patsourakos, Alexandros" uniqKey="Patsourakos A" first="Alexandros" last="Patsourakos">Alexandros Patsourakos</name>
<affiliation wicri:level="1"><country xml:lang="fr">Grèce</country>
<wicri:regionArea>Department of Mathematics, Zografou Campus, National Technical University, Athens, Gr op15780</wicri:regionArea>
<wicri:noRegion>Gr op15780</wicri:noRegion>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Letters in Mathematical Physics</title>
<title level="j" type="sub">A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics</title>
<title level="j" type="abbrev">Letters in Mathematical Physics</title>
<idno type="ISSN">0377-9017</idno>
<idno type="eISSN">1573-0530</idno>
<imprint><publisher>Kluwer Academic Publishers</publisher>
<pubPlace>Dordrecht</pubPlace>
<date type="published" when="1997-09-01">1997-09-01</date>
<biblScope unit="volume">41</biblScope>
<biblScope unit="issue">4</biblScope>
<biblScope unit="page" from="391">391</biblScope>
<biblScope unit="page" to="402">402</biblScope>
</imprint>
<idno type="ISSN">0377-9017</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0377-9017</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Lie algebras</term>
<term>cochain complex</term>
<term>cohomology theory.</term>
<term>contracting homotopy</term>
</keywords>
</textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Abstract: In this Letter, we construct a natural contracting homotopy in the usual cochain complex of free Lie algebras. As a consequence, we prove that the triple cohomology of Lie algebras coincides with a slightly different form of the standard cohomology theory.</div>
</front>
</TEI>
<affiliations><list><country><li>Grèce</li>
</country>
</list>
<tree><country name="Grèce"><noRegion><name sortKey="Patsourakos, Alexandros" sort="Patsourakos, Alexandros" uniqKey="Patsourakos A" first="Alexandros" last="Patsourakos">Alexandros Patsourakos</name>
</noRegion>
</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 001954 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 001954 | 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:D791FCEE2BDF4F2F65504B3DD1929629C4BFDF55 |texte= A Homotopy in the Usual Cochain Complex of Free Lie Algebras }}
This area was generated with Dilib version V0.6.33. |