Serveur d'exploration Bourbaki

Attention, ce site est en cours de développement !
Attention, site généré par des moyens informatiques à partir de corpus bruts.
Les informations ne sont donc pas validées.

Holomorphic functions of exponential type and duality for stein groups with algebraic connected component of identity

Identifieur interne : 000559 ( Main/Exploration ); précédent : 000558; suivant : 000560

Holomorphic functions of exponential type and duality for stein groups with algebraic connected component of identity

Auteurs : S. S. Akbarov [Russie]

Source :

RBID : ISTEX:FF757A7CE4171F6D6C5C090EA9BE9CCE50BF48A6

Abstract

Abstract: We suggest a generalization of Pontryagin duality from the category of commutative, complex Lie groups to the category of (not necessarily commutative) Stein groups with algebraic connected component of identity. In contrast to the other similar generalizations, in our approach the enveloping category consists of Hopf algebras (in a proper symmetrical monoidal category).

Url:
DOI: 10.1007/s10958-009-9646-1


Affiliations:


Links toward previous steps (curation, corpus...)


Le document en format XML

<record>
<TEI wicri:istexFullTextTei="biblStruct">
<teiHeader>
<fileDesc>
<titleStmt>
<title xml:lang="en">Holomorphic functions of exponential type and duality for stein groups with algebraic connected component of identity</title>
<author>
<name sortKey="Akbarov, S S" sort="Akbarov, S S" uniqKey="Akbarov S" first="S. S." last="Akbarov">S. S. Akbarov</name>
</author>
</titleStmt>
<publicationStmt>
<idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:FF757A7CE4171F6D6C5C090EA9BE9CCE50BF48A6</idno>
<date when="2009" year="2009">2009</date>
<idno type="doi">10.1007/s10958-009-9646-1</idno>
<idno type="url">https://api.istex.fr/document/FF757A7CE4171F6D6C5C090EA9BE9CCE50BF48A6/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">003462</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">003462</idno>
<idno type="wicri:Area/Istex/Curation">003462</idno>
<idno type="wicri:Area/Istex/Checkpoint">000514</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000514</idno>
<idno type="wicri:doubleKey">1072-3374:2009:Akbarov S:holomorphic:functions:of</idno>
<idno type="wicri:Area/Main/Merge">000563</idno>
<idno type="wicri:Area/Main/Curation">000559</idno>
<idno type="wicri:Area/Main/Exploration">000559</idno>
</publicationStmt>
<sourceDesc>
<biblStruct>
<analytic>
<title level="a" type="main" xml:lang="en">Holomorphic functions of exponential type and duality for stein groups with algebraic connected component of identity</title>
<author>
<name sortKey="Akbarov, S S" sort="Akbarov, S S" uniqKey="Akbarov S" first="S. S." last="Akbarov">S. S. Akbarov</name>
<affiliation wicri:level="3">
<country xml:lang="fr">Russie</country>
<wicri:regionArea>All-Russian Institute of Scientific and Technical Information of the Russian Academy of Sciences (VINITI RAN), Usievich Street, 20, 125190, Moscow</wicri:regionArea>
<placeName>
<settlement type="city">Moscou</settlement>
<region>District fédéral central</region>
</placeName>
</affiliation>
<affiliation wicri:level="1">
<country wicri:rule="url">Russie</country>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series>
<title level="j">Journal of Mathematical Sciences</title>
<title level="j" type="abbrev">J Math Sci</title>
<idno type="ISSN">1072-3374</idno>
<idno type="eISSN">1573-8795</idno>
<imprint>
<publisher>Springer US; http://www.springer-ny.com</publisher>
<pubPlace>Boston</pubPlace>
<date type="published" when="2009-10-01">2009-10-01</date>
<biblScope unit="volume">162</biblScope>
<biblScope unit="issue">4</biblScope>
<biblScope unit="page" from="459">459</biblScope>
<biblScope unit="page" to="586">586</biblScope>
</imprint>
<idno type="ISSN">1072-3374</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt>
<idno type="ISSN">1072-3374</idno>
</seriesStmt>
</fileDesc>
<profileDesc>
<textClass></textClass>
<langUsage>
<language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front>
<div type="abstract" xml:lang="en">Abstract: We suggest a generalization of Pontryagin duality from the category of commutative, complex Lie groups to the category of (not necessarily commutative) Stein groups with algebraic connected component of identity. In contrast to the other similar generalizations, in our approach the enveloping category consists of Hopf algebras (in a proper symmetrical monoidal category).</div>
</front>
</TEI>
<affiliations>
<list>
<country>
<li>Russie</li>
</country>
<region>
<li>District fédéral central</li>
</region>
<settlement>
<li>Moscou</li>
</settlement>
</list>
<tree>
<country name="Russie">
<region name="District fédéral central">
<name sortKey="Akbarov, S S" sort="Akbarov, S S" uniqKey="Akbarov S" first="S. S." last="Akbarov">S. S. Akbarov</name>
</region>
<name sortKey="Akbarov, S S" sort="Akbarov, S S" uniqKey="Akbarov S" first="S. S." last="Akbarov">S. S. Akbarov</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 000559 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000559 | 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:FF757A7CE4171F6D6C5C090EA9BE9CCE50BF48A6
   |texte=   Holomorphic functions of exponential type and duality for stein groups with algebraic connected component of identity
}}

Wicri

This area was generated with Dilib version V0.6.33.
Data generation: Thu Jul 5 10:00:31 2018. Site generation: Sat Nov 19 17:42:07 2022