Triality and étale algebras
Identifieur interne : 000307 ( Istex/Checkpoint ); précédent : 000306; suivant : 000308Triality and étale algebras
Auteurs : Max-Albert Knus [Suisse] ; Jean-Pierre Tignol [Belgique]Source :
- Developments in Mathematics [ 1389-2177 ] ; 2010.
Abstract
Summary: Trialitarian automorphisms are related to automorphisms of order 3 of the Dynkin diagram of type D 4. Octic étale algebras with trivial discriminant containing quartic subalgebras are classified by Galois cohomology with values in the Weyl group of type D 4. This paper discusses triality for such étale extensions.
Url:
DOI: 10.1007/978-1-4419-6211-9_16
Affiliations:
- Belgique, Suisse
- Canton de Zurich, Province du Brabant wallon, Région wallonne
- Louvain-la-Neuve, Zurich
- Université catholique de Louvain
Links toward previous steps (curation, corpus...)
Links to Exploration step
ISTEX:3D30F46561365090824A5CC9919A1402E8061ED1Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="fr">Triality and étale algebras</title>
<author><name sortKey="Knus, Max Albert" sort="Knus, Max Albert" uniqKey="Knus M" first="Max-Albert" last="Knus">Max-Albert Knus</name>
</author>
<author><name sortKey="Tignol, Jean Pierre" sort="Tignol, Jean Pierre" uniqKey="Tignol J" first="Jean-Pierre" last="Tignol">Jean-Pierre Tignol</name>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:3D30F46561365090824A5CC9919A1402E8061ED1</idno>
<date when="2010" year="2010">2010</date>
<idno type="doi">10.1007/978-1-4419-6211-9_16</idno>
<idno type="url">https://api.istex.fr/document/3D30F46561365090824A5CC9919A1402E8061ED1/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">000C50</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000C50</idno>
<idno type="wicri:Area/Istex/Curation">000C50</idno>
<idno type="wicri:Area/Istex/Checkpoint">000307</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000307</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="alt" xml:lang="fr">Triality and étale algebras</title>
<author><name sortKey="Knus, Max Albert" sort="Knus, Max Albert" uniqKey="Knus M" first="Max-Albert" last="Knus">Max-Albert Knus</name>
<affiliation wicri:level="3"><country xml:lang="fr">Suisse</country>
<wicri:regionArea>Departement Mathematik, ETH Zentrum, CH-8092, Zürich</wicri:regionArea>
<placeName><settlement type="city">Zurich</settlement>
<region nuts="3" type="region">Canton de Zurich</region>
</placeName>
</affiliation>
<affiliation wicri:level="1"><country wicri:rule="url">Suisse</country>
</affiliation>
</author>
<author><name sortKey="Tignol, Jean Pierre" sort="Tignol, Jean Pierre" uniqKey="Tignol J" first="Jean-Pierre" last="Tignol">Jean-Pierre Tignol</name>
<affiliation wicri:level="4"><country xml:lang="fr">Belgique</country>
<wicri:regionArea>Institut de Mathématique Pure et Appliquée, Université catholique de Louvain, B-1348, Louvain-la-Neuve</wicri:regionArea>
<orgName type="university">Université catholique de Louvain</orgName>
<placeName><settlement type="city">Louvain-la-Neuve</settlement>
<region type="region" nuts="1">Région wallonne</region>
<region type="province" nuts="1">Province du Brabant wallon</region>
</placeName>
</affiliation>
<affiliation wicri:level="1"><country wicri:rule="url">Belgique</country>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="s">Developments in Mathematics</title>
<title level="s" type="sub">Diophantine Approximation: Festschrift for Wolfgang Schmidt</title>
<imprint><date>2010</date>
</imprint>
<idno type="ISSN">1389-2177</idno>
<idno type="ISSN">1389-2177</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">1389-2177</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass></textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Summary: Trialitarian automorphisms are related to automorphisms of order 3 of the Dynkin diagram of type D 4. Octic étale algebras with trivial discriminant containing quartic subalgebras are classified by Galois cohomology with values in the Weyl group of type D 4. This paper discusses triality for such étale extensions.</div>
</front>
</TEI>
<affiliations><list><country><li>Belgique</li>
<li>Suisse</li>
</country>
<region><li>Canton de Zurich</li>
<li>Province du Brabant wallon</li>
<li>Région wallonne</li>
</region>
<settlement><li>Louvain-la-Neuve</li>
<li>Zurich</li>
</settlement>
<orgName><li>Université catholique de Louvain</li>
</orgName>
</list>
<tree><country name="Suisse"><region name="Canton de Zurich"><name sortKey="Knus, Max Albert" sort="Knus, Max Albert" uniqKey="Knus M" first="Max-Albert" last="Knus">Max-Albert Knus</name>
</region>
<name sortKey="Knus, Max Albert" sort="Knus, Max Albert" uniqKey="Knus M" first="Max-Albert" last="Knus">Max-Albert Knus</name>
</country>
<country name="Belgique"><region name="Région wallonne"><name sortKey="Tignol, Jean Pierre" sort="Tignol, Jean Pierre" uniqKey="Tignol J" first="Jean-Pierre" last="Tignol">Jean-Pierre Tignol</name>
</region>
<name sortKey="Tignol, Jean Pierre" sort="Tignol, Jean Pierre" uniqKey="Tignol J" first="Jean-Pierre" last="Tignol">Jean-Pierre Tignol</name>
</country>
</tree>
</affiliations>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Istex/Checkpoint
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000307 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Istex/Checkpoint/biblio.hfd -nk 000307 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Mathematiques |area= BourbakiV1 |flux= Istex |étape= Checkpoint |type= RBID |clé= ISTEX:3D30F46561365090824A5CC9919A1402E8061ED1 |texte= Triality and étale algebras }}
![]() | This area was generated with Dilib version V0.6.33. | ![]() |