Auslander–Reiten Quivers and the Coxeter Complex
Identifieur interne : 000850 ( Istex/Corpus ); précédent : 000849; suivant : 000851Auslander–Reiten Quivers and the Coxeter Complex
Auteurs : Shmuel ZeliksonSource :
- Algebras and Representation Theory [ 1386-923X ] ; 2005-03-01.
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Abstract
Abstract: Let Q be a quiver of type ADE. We construct the corresponding Auslander–Reiten quiver as a topological complex inside the Coxeter complex associated with the underlying Dynkin diagram. In An case, we recover special wiring diagrams.
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DOI: 10.1007/s10468-004-6117-8
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ISTEX:28CB6448502665FBC8E48A8A2BEEC21D98FC10C0Le document en format XML
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Let <Emphasis Type="Italic">Q</Emphasis> be a quiver of type ADE. We construct the corresponding Auslander–Reiten quiver as a topological complex inside the Coxeter complex associated with the underlying Dynkin diagram. In <Emphasis Type="Italic">A</Emphasis><Subscript>n</Subscript> case, we recover special wiring diagrams.
</Para></Abstract><KeywordGroup Language="En"><Heading>Keywords</Heading><Keyword>quivers</Keyword><Keyword>Coxeter groups</Keyword><Keyword>quantum groups</Keyword></KeywordGroup><ArticleNote Type="PresentedBy"><SimplePara>Presented by R. Rentschler</SimplePara></ArticleNote><ArticleNote Type="Misc"><Heading>Mathematics Subject Classifications (2000)</Heading><SimplePara>16G70, 17B10, 20F55.</SimplePara></ArticleNote></ArticleHeader><NoBody></NoBody></Article></Issue></Volume></Journal></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Auslander–Reiten Quivers and the Coxeter Complex</title></titleInfo><titleInfo type="alternative" contentType="CDATA" lang="en"><title>Auslander–Reiten Quivers and the Coxeter Complex</title></titleInfo><name type="personal" displayLabel="corresp"><namePart type="given">Shmuel</namePart><namePart type="family">Zelikson</namePart><affiliation>LMND, Département de Mathématiques, Université de Caen, B.P. 5186, 14032, Caen Cedex, France</affiliation><affiliation>E-mail: Shmuel.Zelikson@math.unicaen.fr</affiliation><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>Kluwer Academic Publishers</publisher><place><placeTerm type="text">Dordrecht</placeTerm></place><dateIssued encoding="w3cdtf">2005-03-01</dateIssued><dateIssued encoding="w3cdtf">2005</dateIssued><copyrightDate encoding="w3cdtf">2005</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><abstract lang="en">Abstract: Let Q be a quiver of type ADE. We construct the corresponding Auslander–Reiten quiver as a topological complex inside the Coxeter complex associated with the underlying Dynkin diagram. In An case, we recover special wiring diagrams.</abstract><subject lang="en"><genre>Keywords</genre><topic>quivers</topic><topic>Coxeter groups</topic><topic>quantum groups</topic></subject><relatedItem type="host"><titleInfo><title>Algebras and Representation Theory</title></titleInfo><titleInfo type="abbreviated"><title>Algebr Represent Theor</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">2005-03-01</dateIssued><copyrightDate encoding="w3cdtf">2005</copyrightDate></originInfo><subject><genre>Mathematics</genre><topic>Associative Rings and Algebras</topic><topic>Commutative Rings and Algebras</topic><topic>Non-associative Rings and Algebras</topic></subject><identifier type="ISSN">1386-923X</identifier><identifier type="eISSN">1572-9079</identifier><identifier type="JournalID">10468</identifier><identifier type="JournalSPIN">ALGE</identifier><identifier type="VolumeIssueCount">5</identifier><part><date>2005</date><detail type="volume"><number>8</number><caption>vol.</caption></detail><detail type="issue"><number>1</number><caption>no.</caption></detail><extent unit="pages"><start>35</start><end>55</end></extent></part><recordInfo><recordOrigin>Springer, 2005</recordOrigin></recordInfo></relatedItem><identifier type="istex">28CB6448502665FBC8E48A8A2BEEC21D98FC10C0</identifier><identifier type="ark">ark:/67375/VQC-STC1762R-2</identifier><identifier type="DOI">10.1007/s10468-004-6117-8</identifier><identifier type="ArticleID">6117</identifier><identifier type="ArticleID">DO00006117</identifier><accessCondition type="use and reproduction" contentType="copyright">Springer, 2005</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>Springer, 2005</recordOrigin></recordInfo></mods><json:item><extension>json</extension><original>false</original><mimetype>application/json</mimetype><uri>https://api.istex.fr/document/28CB6448502665FBC8E48A8A2BEEC21D98FC10C0/metadata/json</uri></json:item></metadata><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
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