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.

Some arithmetical results on semi-simple lie algebras

Identifieur interne : 001384 ( Istex/Corpus ); précédent : 001383; suivant : 001385

Some arithmetical results on semi-simple lie algebras

Auteurs : T. A. Springer

Source :

RBID : ISTEX:60BD577230F17A35A82559497E45778918850916

English descriptors


Url:
DOI: 10.1007/BF02684358

Links to Exploration step

ISTEX:60BD577230F17A35A82559497E45778918850916

Le document en format XML

<record>
<TEI wicri:istexFullTextTei="biblStruct">
<teiHeader>
<fileDesc>
<titleStmt>
<title xml:lang="en">Some arithmetical results on semi-simple lie algebras</title>
<author>
<name sortKey="Springer, T A" sort="Springer, T A" uniqKey="Springer T" first="T. A." last="Springer">T. A. Springer</name>
</author>
</titleStmt>
<publicationStmt>
<idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:60BD577230F17A35A82559497E45778918850916</idno>
<date when="1966" year="1966">1966</date>
<idno type="doi">10.1007/BF02684358</idno>
<idno type="url">https://api.istex.fr/document/60BD577230F17A35A82559497E45778918850916/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">001384</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001384</idno>
</publicationStmt>
<sourceDesc>
<biblStruct>
<analytic>
<title level="a" type="main" xml:lang="en">Some arithmetical results on semi-simple lie algebras</title>
<author>
<name sortKey="Springer, T A" sort="Springer, T A" uniqKey="Springer T" first="T. A." last="Springer">T. A. Springer</name>
</author>
</analytic>
<monogr></monogr>
<series>
<title level="j">Publications Mathématiques de l'Institut des Hautes Études Scientifiques</title>
<title level="j" type="abbrev">Publications Mathématiques de L’Institut des Hautes Scientifiques</title>
<idno type="ISSN">0073-8301</idno>
<idno type="eISSN">1618-1913</idno>
<imprint>
<publisher>Springer-Verlag</publisher>
<pubPlace>Berlin/Heidelberg</pubPlace>
<date type="published" when="1966-12-01">1966-12-01</date>
<biblScope unit="volume">30</biblScope>
<biblScope unit="issue">1</biblScope>
<biblScope unit="page" from="115">115</biblScope>
<biblScope unit="page" to="141">141</biblScope>
</imprint>
<idno type="ISSN">0073-8301</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt>
<idno type="ISSN">0073-8301</idno>
</seriesStmt>
</fileDesc>
<profileDesc>
<textClass>
<keywords scheme="KwdEn" xml:lang="en">
<term>Adjoint action</term>
<term>Algebra</term>
<term>Algebraic</term>
<term>Algebraic group</term>
<term>Algebraic groups</term>
<term>Arithmetical</term>
<term>Arithmetical results</term>
<term>Borel</term>
<term>Borel subgroup</term>
<term>Centralizer</term>
<term>Direct product</term>
<term>Divisor</term>
<term>Elementary divisor</term>
<term>Elementary divisors</term>
<term>Extraordinary part</term>
<term>First assertion</term>
<term>Groupes</term>
<term>Highest root</term>
<term>Homomorphism</term>
<term>Identity component</term>
<term>Linear combination</term>
<term>Linear combinations</term>
<term>Nilpotent element</term>
<term>Nilpotent elements</term>
<term>Perfect field</term>
<term>Positive heights</term>
<term>Positive roots</term>
<term>Regular unipotent element</term>
<term>Regular unipotent elements</term>
<term>Root system</term>
<term>Same length</term>
<term>Simple ones</term>
<term>Simple root systems</term>
<term>Simple roots</term>
<term>Simple types</term>
<term>Springer</term>
<term>Structure constants</term>
<term>Subgroup</term>
<term>Unipotent</term>
<term>Unipotent elements</term>
<term>Unipotent subgroup</term>
<term>Various characterizations</term>
</keywords>
<keywords scheme="Teeft" xml:lang="en">
<term>Adjoint action</term>
<term>Algebra</term>
<term>Algebraic</term>
<term>Algebraic group</term>
<term>Algebraic groups</term>
<term>Arithmetical</term>
<term>Arithmetical results</term>
<term>Borel</term>
<term>Borel subgroup</term>
<term>Centralizer</term>
<term>Direct product</term>
<term>Divisor</term>
<term>Elementary divisor</term>
<term>Elementary divisors</term>
<term>Extraordinary part</term>
<term>First assertion</term>
<term>Groupes</term>
<term>Highest root</term>
<term>Homomorphism</term>
<term>Identity component</term>
<term>Linear combination</term>
<term>Linear combinations</term>
<term>Nilpotent element</term>
<term>Nilpotent elements</term>
<term>Perfect field</term>
<term>Positive heights</term>
<term>Positive roots</term>
<term>Regular unipotent element</term>
<term>Regular unipotent elements</term>
<term>Root system</term>
<term>Same length</term>
<term>Simple ones</term>
<term>Simple root systems</term>
<term>Simple roots</term>
<term>Simple types</term>
<term>Springer</term>
<term>Structure constants</term>
<term>Subgroup</term>
<term>Unipotent</term>
<term>Unipotent elements</term>
<term>Unipotent subgroup</term>
<term>Various characterizations</term>
</keywords>
</textClass>
<langUsage>
<language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
</TEI>
<istex>
<corpusName>springer-journals</corpusName>
<keywords>
<teeft>
<json:string>unipotent</json:string>
<json:string>divisor</json:string>
<json:string>subgroup</json:string>
<json:string>simple roots</json:string>
<json:string>elementary divisors</json:string>
<json:string>centralizer</json:string>
<json:string>regular unipotent elements</json:string>
<json:string>algebra</json:string>
<json:string>structure constants</json:string>
<json:string>root system</json:string>
<json:string>same length</json:string>
<json:string>elementary divisor</json:string>
<json:string>highest root</json:string>
<json:string>springer</json:string>
<json:string>positive roots</json:string>
<json:string>borel</json:string>
<json:string>homomorphism</json:string>
<json:string>groupes</json:string>
<json:string>unipotent subgroup</json:string>
<json:string>regular unipotent element</json:string>
<json:string>algebraic group</json:string>
<json:string>borel subgroup</json:string>
<json:string>first assertion</json:string>
<json:string>unipotent elements</json:string>
<json:string>simple types</json:string>
<json:string>direct product</json:string>
<json:string>simple ones</json:string>
<json:string>extraordinary part</json:string>
<json:string>nilpotent element</json:string>
<json:string>nilpotent elements</json:string>
<json:string>algebraic</json:string>
<json:string>arithmetical</json:string>
<json:string>positive heights</json:string>
<json:string>arithmetical results</json:string>
<json:string>simple root systems</json:string>
<json:string>algebraic groups</json:string>
<json:string>linear combinations</json:string>
<json:string>linear combination</json:string>
<json:string>various characterizations</json:string>
<json:string>adjoint action</json:string>
<json:string>identity component</json:string>
<json:string>perfect field</json:string>
</teeft>
</keywords>
<author>
<json:item>
<name>T. A. Springer</name>
</json:item>
</author>
<articleId>
<json:string>BF02684358</json:string>
<json:string>Art4</json:string>
</articleId>
<arkIstex>ark:/67375/1BB-XFGCDFJ0-G</arkIstex>
<language>
<json:string>eng</json:string>
</language>
<originalGenre>
<json:string>OriginalPaper</json:string>
</originalGenre>
<qualityIndicators>
<refBibsNative>false</refBibsNative>
<abstractWordCount>1</abstractWordCount>
<abstractCharCount>0</abstractCharCount>
<keywordCount>0</keywordCount>
<score>7.012</score>
<pdfWordCount>12809</pdfWordCount>
<pdfCharCount>50438</pdfCharCount>
<pdfVersion>1.3</pdfVersion>
<pdfPageCount>27</pdfPageCount>
<pdfPageSize>612 x 828 pts</pdfPageSize>
</qualityIndicators>
<title>Some arithmetical results on semi-simple lie algebras</title>
<genre>
<json:string>research-article</json:string>
</genre>
<host>
<title>Publications Mathématiques de l'Institut des Hautes Études Scientifiques</title>
<language>
<json:string>unknown</json:string>
</language>
<publicationDate>1966</publicationDate>
<copyrightDate>1966</copyrightDate>
<issn>
<json:string>0073-8301</json:string>
</issn>
<eissn>
<json:string>1618-1913</json:string>
</eissn>
<journalId>
<json:string>10240</json:string>
</journalId>
<volume>30</volume>
<issue>1</issue>
<pages>
<first>115</first>
<last>141</last>
</pages>
<genre>
<json:string>journal</json:string>
</genre>
<subject>
<json:item>
<value>Mathematics, general</value>
</json:item>
<json:item>
<value>Algebra</value>
</json:item>
<json:item>
<value>Analysis</value>
</json:item>
<json:item>
<value>Geometry</value>
</json:item>
<json:item>
<value>Number Theory</value>
</json:item>
</subject>
</host>
<namedEntities>
<unitex>
<date></date>
<geogName></geogName>
<orgName></orgName>
<orgName_funder></orgName_funder>
<orgName_provider></orgName_provider>
<persName></persName>
<placeName></placeName>
<ref_url></ref_url>
<ref_bibl></ref_bibl>
<bibl></bibl>
</unitex>
</namedEntities>
<ark>
<json:string>ark:/67375/1BB-XFGCDFJ0-G</json:string>
</ark>
<categories>
<wos>
<json:string>1 - science</json:string>
<json:string>2 - mathematics</json:string>
</wos>
<scienceMetrix>
<json:string>1 - natural sciences</json:string>
<json:string>2 - mathematics & statistics</json:string>
<json:string>3 - general mathematics</json:string>
</scienceMetrix>
<scopus>
<json:string>1 - Physical Sciences</json:string>
<json:string>2 - Mathematics</json:string>
<json:string>3 - General Mathematics</json:string>
</scopus>
</categories>
<publicationDate>1966</publicationDate>
<copyrightDate>1966</copyrightDate>
<doi>
<json:string>10.1007/BF02684358</json:string>
</doi>
<id>60BD577230F17A35A82559497E45778918850916</id>
<score>1</score>
<fulltext>
<json:item>
<extension>pdf</extension>
<original>true</original>
<mimetype>application/pdf</mimetype>
<uri>https://api.istex.fr/document/60BD577230F17A35A82559497E45778918850916/fulltext/pdf</uri>
</json:item>
<json:item>
<extension>zip</extension>
<original>false</original>
<mimetype>application/zip</mimetype>
<uri>https://api.istex.fr/document/60BD577230F17A35A82559497E45778918850916/fulltext/zip</uri>
</json:item>
<istex:fulltextTEI uri="https://api.istex.fr/document/60BD577230F17A35A82559497E45778918850916/fulltext/tei">
<teiHeader>
<fileDesc>
<titleStmt>
<title level="a" type="main" xml:lang="en">Some arithmetical results on semi-simple lie algebras</title>
<respStmt>
<resp>Références bibliographiques récupérées via GROBID</resp>
<name resp="ISTEX-API">ISTEX-API (INIST-CNRS)</name>
</respStmt>
</titleStmt>
<publicationStmt>
<authority>ISTEX</authority>
<publisher scheme="https://publisher-list.data.istex.fr">Springer-Verlag</publisher>
<pubPlace>Berlin/Heidelberg</pubPlace>
<availability>
<licence>
<p>Publications mathématiques de l’I.H.É.S, 1966</p>
</licence>
<p scheme="https://loaded-corpus.data.istex.fr/ark:/67375/XBH-3XSW68JL-F">springer</p>
</availability>
<date>1966</date>
</publicationStmt>
<notesStmt>
<note type="research-article" scheme="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</note>
<note type="journal" scheme="https://publication-type.data.istex.fr/ark:/67375/JMC-0GLKJH51-B">journal</note>
</notesStmt>
<sourceDesc>
<biblStruct type="inbook">
<analytic>
<title level="a" type="main" xml:lang="en">Some arithmetical results on semi-simple lie algebras</title>
<author xml:id="author-0000">
<persName>
<forename type="first">T.</forename>
<surname>Springer</surname>
</persName>
</author>
<idno type="istex">60BD577230F17A35A82559497E45778918850916</idno>
<idno type="ark">ark:/67375/1BB-XFGCDFJ0-G</idno>
<idno type="DOI">10.1007/BF02684358</idno>
<idno type="article-id">BF02684358</idno>
<idno type="article-id">Art4</idno>
</analytic>
<monogr>
<title level="j">Publications Mathématiques de l'Institut des Hautes Études Scientifiques</title>
<title level="j" type="abbrev">Publications Mathématiques de L’Institut des Hautes Scientifiques</title>
<idno type="pISSN">0073-8301</idno>
<idno type="eISSN">1618-1913</idno>
<idno type="journal-ID">true</idno>
<idno type="issue-article-count">4</idno>
<idno type="volume-issue-count">0</idno>
<imprint>
<publisher>Springer-Verlag</publisher>
<pubPlace>Berlin/Heidelberg</pubPlace>
<date type="published" when="1966-12-01"></date>
<biblScope unit="volume">30</biblScope>
<biblScope unit="issue">1</biblScope>
<biblScope unit="page" from="115">115</biblScope>
<biblScope unit="page" to="141">141</biblScope>
</imprint>
</monogr>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc>
<creation>
<date>1966</date>
</creation>
<langUsage>
<language ident="en">en</language>
</langUsage>
<textClass>
<keywords scheme="Journal Subject">
<list>
<head>Mathematics</head>
<item>
<term>Mathematics, general</term>
</item>
<item>
<term>Algebra</term>
</item>
<item>
<term>Analysis</term>
</item>
<item>
<term>Geometry</term>
</item>
<item>
<term>Number Theory</term>
</item>
</list>
</keywords>
</textClass>
</profileDesc>
<revisionDesc>
<change when="1966-12-01">Published</change>
<change xml:id="refBibs-istex" who="#ISTEX-API" when="2017-12-1">References added</change>
</revisionDesc>
</teiHeader>
</istex:fulltextTEI>
<json:item>
<extension>txt</extension>
<original>false</original>
<mimetype>text/plain</mimetype>
<uri>https://api.istex.fr/document/60BD577230F17A35A82559497E45778918850916/fulltext/txt</uri>
</json:item>
</fulltext>
<metadata>
<istex:metadataXml wicri:clean="corpus springer-journals not found" wicri:toSee="no header">
<istex:xmlDeclaration>version="1.0" encoding="UTF-8"</istex:xmlDeclaration>
<istex:docType PUBLIC="-//Springer-Verlag//DTD A++ V2.4//EN" URI="http://devel.springer.de/A++/V2.4/DTD/A++V2.4.dtd" name="istex:docType"></istex:docType>
<istex:document>
<Publisher>
<PublisherInfo>
<PublisherName>Springer-Verlag</PublisherName>
<PublisherLocation>Berlin/Heidelberg</PublisherLocation>
</PublisherInfo>
<Journal>
<JournalInfo JournalProductType="ArchiveJournal" NumberingStyle="Unnumbered">
<JournalID>10240</JournalID>
<JournalPrintISSN>0073-8301</JournalPrintISSN>
<JournalElectronicISSN>1618-1913</JournalElectronicISSN>
<JournalTitle>Publications Mathématiques de l'Institut des Hautes Études Scientifiques</JournalTitle>
<JournalAbbreviatedTitle>Publications Mathématiques de L’Institut des Hautes Scientifiques</JournalAbbreviatedTitle>
<JournalSubjectGroup>
<JournalSubject Type="Primary">Mathematics</JournalSubject>
<JournalSubject Type="Secondary">Mathematics, general</JournalSubject>
<JournalSubject Type="Secondary">Algebra</JournalSubject>
<JournalSubject Type="Secondary">Analysis</JournalSubject>
<JournalSubject Type="Secondary">Geometry</JournalSubject>
<JournalSubject Type="Secondary">Number Theory</JournalSubject>
</JournalSubjectGroup>
</JournalInfo>
<Volume>
<VolumeInfo TocLevels="0" VolumeType="Regular">
<VolumeIDStart>30</VolumeIDStart>
<VolumeIDEnd>30</VolumeIDEnd>
<VolumeIssueCount>0</VolumeIssueCount>
</VolumeInfo>
<Issue IssueType="Regular">
<IssueInfo TocLevels="0">
<IssueIDStart>1</IssueIDStart>
<IssueIDEnd>1</IssueIDEnd>
<IssueArticleCount>4</IssueArticleCount>
<IssueHistory>
<CoverDate>
<Year>1966</Year>
<Month>12</Month>
</CoverDate>
</IssueHistory>
<IssueCopyright>
<CopyrightHolderName>Publications Mathematiques de L–I.H.E.S.</CopyrightHolderName>
<CopyrightYear>1966</CopyrightYear>
</IssueCopyright>
</IssueInfo>
<Article ID="Art4">
<ArticleInfo ArticleType="OriginalPaper" ContainsESM="No" Language="En" NumberingStyle="Unnumbered" TocLevels="0">
<ArticleID>BF02684358</ArticleID>
<ArticleDOI>10.1007/BF02684358</ArticleDOI>
<ArticleSequenceNumber>4</ArticleSequenceNumber>
<ArticleTitle Language="En">Some arithmetical results on semi-simple lie algebras</ArticleTitle>
<ArticleFirstPage>115</ArticleFirstPage>
<ArticleLastPage>141</ArticleLastPage>
<ArticleHistory>
<RegistrationDate>
<Year>2007</Year>
<Month>8</Month>
<Day>4</Day>
</RegistrationDate>
</ArticleHistory>
<ArticleCopyright>
<CopyrightHolderName>Publications mathématiques de l’I.H.É.S</CopyrightHolderName>
<CopyrightYear>1966</CopyrightYear>
</ArticleCopyright>
<ArticleGrants Type="Regular">
<MetadataGrant Grant="OpenAccess"></MetadataGrant>
<AbstractGrant Grant="OpenAccess"></AbstractGrant>
<BodyPDFGrant Grant="Restricted"></BodyPDFGrant>
<BodyHTMLGrant Grant="Restricted"></BodyHTMLGrant>
<BibliographyGrant Grant="Restricted"></BibliographyGrant>
<ESMGrant Grant="Restricted"></ESMGrant>
</ArticleGrants>
<ArticleContext>
<JournalID>10240</JournalID>
<VolumeIDStart>30</VolumeIDStart>
<VolumeIDEnd>30</VolumeIDEnd>
<IssueIDStart>1</IssueIDStart>
<IssueIDEnd>1</IssueIDEnd>
</ArticleContext>
</ArticleInfo>
<ArticleHeader>
<AuthorGroup>
<Author>
<AuthorName DisplayOrder="Western">
<GivenName>T.</GivenName>
<GivenName>A.</GivenName>
<FamilyName>Springer</FamilyName>
</AuthorName>
</Author>
</AuthorGroup>
</ArticleHeader>
<NoBody></NoBody>
</Article>
</Issue>
</Volume>
</Journal>
</Publisher>
</istex:document>
</istex:metadataXml>
<mods version="3.6">
<titleInfo lang="en">
<title>Some arithmetical results on semi-simple lie algebras</title>
</titleInfo>
<titleInfo type="alternative" contentType="CDATA" lang="en">
<title>Some arithmetical results on semi-simple lie algebras</title>
</titleInfo>
<name type="personal">
<namePart type="given">T.</namePart>
<namePart type="given">A.</namePart>
<namePart type="family">Springer</namePart>
<role>
<roleTerm type="text">author</roleTerm>
</role>
</name>
<typeOfResource>text</typeOfResource>
<genre type="research-article" displayLabel="OriginalPaper" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</genre>
<originInfo>
<publisher>Springer-Verlag</publisher>
<place>
<placeTerm type="text">Berlin/Heidelberg</placeTerm>
</place>
<dateIssued encoding="w3cdtf">1966-12-01</dateIssued>
<dateIssued encoding="w3cdtf">1966</dateIssued>
<copyrightDate encoding="w3cdtf">1966</copyrightDate>
</originInfo>
<language>
<languageTerm type="code" authority="rfc3066">en</languageTerm>
<languageTerm type="code" authority="iso639-2b">eng</languageTerm>
</language>
<relatedItem type="host">
<titleInfo>
<title>Publications Mathématiques de l'Institut des Hautes Études Scientifiques</title>
</titleInfo>
<titleInfo type="abbreviated">
<title>Publications Mathématiques de L’Institut des Hautes Scientifiques</title>
</titleInfo>
<genre type="journal" displayLabel="Archive Journal" authority="ISTEX" valueURI="https://publication-type.data.istex.fr/ark:/67375/JMC-0GLKJH51-B">journal</genre>
<originInfo>
<publisher>Springer</publisher>
<dateIssued encoding="w3cdtf">1966-12-01</dateIssued>
<copyrightDate encoding="w3cdtf">1966</copyrightDate>
</originInfo>
<subject>
<genre>Mathematics</genre>
<topic>Mathematics, general</topic>
<topic>Algebra</topic>
<topic>Analysis</topic>
<topic>Geometry</topic>
<topic>Number Theory</topic>
</subject>
<identifier type="ISSN">0073-8301</identifier>
<identifier type="eISSN">1618-1913</identifier>
<identifier type="JournalID">10240</identifier>
<identifier type="IssueArticleCount">4</identifier>
<identifier type="VolumeIssueCount">0</identifier>
<part>
<date>1966</date>
<detail type="volume">
<number>30</number>
<caption>vol.</caption>
</detail>
<detail type="issue">
<number>1</number>
<caption>no.</caption>
</detail>
<extent unit="pages">
<start>115</start>
<end>141</end>
</extent>
</part>
<recordInfo>
<recordOrigin>Publications Mathematiques de L–I.H.E.S., 1966</recordOrigin>
</recordInfo>
</relatedItem>
<identifier type="istex">60BD577230F17A35A82559497E45778918850916</identifier>
<identifier type="ark">ark:/67375/1BB-XFGCDFJ0-G</identifier>
<identifier type="DOI">10.1007/BF02684358</identifier>
<identifier type="ArticleID">BF02684358</identifier>
<identifier type="ArticleID">Art4</identifier>
<accessCondition type="use and reproduction" contentType="copyright">Publications mathématiques de l’I.H.É.S, 1966</accessCondition>
<recordInfo>
<recordContentSource authority="ISTEX" authorityURI="https://loaded-corpus.data.istex.fr" valueURI="https://loaded-corpus.data.istex.fr/ark:/67375/XBH-3XSW68JL-F">springer</recordContentSource>
<recordOrigin>Publications mathématiques de l’I.H.É.S, 1966</recordOrigin>
</recordInfo>
</mods>
<json:item>
<extension>json</extension>
<original>false</original>
<mimetype>application/json</mimetype>
<uri>https://api.istex.fr/document/60BD577230F17A35A82559497E45778918850916/metadata/json</uri>
</json:item>
</metadata>
<serie></serie>
</istex>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/Istex/Corpus
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001384 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/Istex/Corpus/biblio.hfd -nk 001384 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Mathematiques
   |area=    BourbakiV1
   |flux=    Istex
   |étape=   Corpus
   |type=    RBID
   |clé=     ISTEX:60BD577230F17A35A82559497E45778918850916
   |texte=   Some arithmetical results on semi-simple lie algebras
}}

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