Higher Order Quantum Serre Relations
Identifieur interne : 001A16 ( Istex/Corpus ); précédent : 001A15; suivant : 001A17Higher Order Quantum Serre Relations
Auteurs : George LusztigSource :
- Modern Birkhäuser Classics ; 2010.
Abstract
Abstract: 7.1.1. In this chapter we assume that we are given i ≠ j in I and e = ±1. Given n, m ∈ Z, we set $${f_{i,j;n,m;e}} = \sum\limits_{r + s = m} {{{( - 1)}^r}{v_i}^{er( - \left\langle {i,j\prime} \right\rangle n - m + 1)}{\theta _i}^{(r)}{\theta _j}^{(n)}{\theta _i}^{(s)} \in {\rm{f}}} .$$
Url:
DOI: 10.1007/978-0-8176-4717-9_7
Links to Exploration step
ISTEX:7F5A6FE108470128CD1C090E70CF195B98CFD339Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Higher Order Quantum Serre Relations</title><author><name sortKey="Lusztig, George" sort="Lusztig, George" uniqKey="Lusztig G" first="George" last="Lusztig">George Lusztig</name><affiliation><mods:affiliation>Department of Mathematics, MIT, 02139, Cambridge, MA, USA</mods:affiliation></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:7F5A6FE108470128CD1C090E70CF195B98CFD339</idno><date when="2010" year="2010">2010</date><idno type="doi">10.1007/978-0-8176-4717-9_7</idno><idno type="url">https://api.istex.fr/document/7F5A6FE108470128CD1C090E70CF195B98CFD339/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">001A16</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001A16</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Higher Order Quantum Serre Relations</title><author><name sortKey="Lusztig, George" sort="Lusztig, George" uniqKey="Lusztig G" first="George" last="Lusztig">George Lusztig</name><affiliation><mods:affiliation>Department of Mathematics, MIT, 02139, Cambridge, MA, USA</mods:affiliation></affiliation></author></analytic><monogr></monogr><series><title level="s">Modern Birkhäuser Classics</title><imprint><date>2010</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: 7.1.1. In this chapter we assume that we are given i ≠ j in I and e = ±1. Given n, m ∈ Z, we set $${f_{i,j;n,m;e}} = \sum\limits_{r + s = m} {{{( - 1)}^r}{v_i}^{er( - \left\langle {i,j\prime} \right\rangle n - m + 1)}{\theta _i}^{(r)}{\theta _j}^{(n)}{\theta _i}^{(s)} \in {\rm{f}}} .$$</div></front></TEI><istex><corpusName>springer-ebooks</corpusName><author><json:item><name>George Lusztig</name><affiliations><json:string>Department of Mathematics, MIT, 02139, Cambridge, MA, USA</json:string></affiliations></json:item></author><arkIstex>ark:/67375/HCB-T1GN3VSV-7</arkIstex><language><json:string>eng</json:string></language><originalGenre><json:string>OriginalPaper</json:string></originalGenre><abstract>Abstract: 7.1.1. In this chapter we assume that we are given i ≠ j in I and e = ±1. Given n, m ∈ Z, we set $${f_{i,j;n,m;e}} = \sum\limits_{r + s = m} {{{( - 1)}^r}{v_i}^{er( - \left\langle {i,j\prime} \right\rangle n - m + 1)}{\theta _i}^{(r)}{\theta _j}^{(n)}{\theta _i}^{(s)} \in {\rm{f}}} .$$</abstract><qualityIndicators><refBibsNative>false</refBibsNative><abstractWordCount>52</abstractWordCount><abstractCharCount>296</abstractCharCount><keywordCount>0</keywordCount><score>4.185</score><pdfWordCount>1561</pdfWordCount><pdfCharCount>6873</pdfCharCount><pdfVersion>1.3</pdfVersion><pdfPageCount>6</pdfPageCount><pdfPageSize>439.37 x 666.142 pts</pdfPageSize></qualityIndicators><title>Higher Order Quantum Serre Relations</title><chapterId><json:string>7</json:string><json:string>b978-0-8176-4717-9_7</json:string></chapterId><genre><json:string>research-article</json:string></genre><serie><title>Modern Birkhäuser Classics</title><language><json:string>unknown</json:string></language><copyrightDate>2010</copyrightDate></serie><host><title>Introduction to Quantum Groups</title><language><json:string>unknown</json:string></language><copyrightDate>2010</copyrightDate><doi><json:string>10.1007/978-0-8176-4717-9</json:string></doi><eisbn><json:string>978-0-8176-4717-9</json:string></eisbn><bookId><json:string>978-0-8176-4717-9</json:string></bookId><isbn><json:string>978-0-8176-4716-2</json:string></isbn><volume>2010</volume><pages><first>55</first><last>60</last></pages><genre><json:string>book-series</json:string></genre><author><json:item><name>George Lusztig</name><affiliations><json:string>MIT, 02139, Cambridge, Massachusetts, USA</json:string><json:string>E-mail: gyuri@math.mit.edu</json:string></affiliations></json:item></author><subject><json:item><value>Mathematics and Statistics</value></json:item><json:item><value>Mathematics</value></json:item><json:item><value>Group Theory and Generalizations</value></json:item><json:item><value>Quantum Physics</value></json:item><json:item><value>Topological Groups, Lie Groups</value></json:item><json:item><value>Algebra</value></json:item><json:item><value>Mathematical Methods in Physics</value></json:item></subject></host><ark><json:string>ark:/67375/HCB-T1GN3VSV-7</json:string></ark><publicationDate>2010</publicationDate><copyrightDate>2010</copyrightDate><doi><json:string>10.1007/978-0-8176-4717-9_7</json:string></doi><id>7F5A6FE108470128CD1C090E70CF195B98CFD339</id><score>1</score><fulltext><json:item><extension>pdf</extension><original>true</original><mimetype>application/pdf</mimetype><uri>https://api.istex.fr/document/7F5A6FE108470128CD1C090E70CF195B98CFD339/fulltext/pdf</uri></json:item><json:item><extension>zip</extension><original>false</original><mimetype>application/zip</mimetype><uri>https://api.istex.fr/document/7F5A6FE108470128CD1C090E70CF195B98CFD339/fulltext/zip</uri></json:item><istex:fulltextTEI uri="https://api.istex.fr/document/7F5A6FE108470128CD1C090E70CF195B98CFD339/fulltext/tei"><teiHeader><fileDesc><titleStmt><title level="a" type="main" xml:lang="en">Higher Order Quantum Serre Relations</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">Birkhäuser Boston</publisher><pubPlace>Boston</pubPlace><availability><licence><p>Springer Science+Business Media, LLC, 2010</p></licence><p scheme="https://loaded-corpus.data.istex.fr/ark:/67375/XBH-3XSW68JL-F">springer</p></availability><date>2010</date></publicationStmt><notesStmt><note type="research-article" scheme="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</note><note type="book-series" scheme="https://publication-type.data.istex.fr/ark:/67375/JMC-0G6R5W5T-Z">book-series</note></notesStmt><sourceDesc><biblStruct type="inbook"><analytic><title level="a" type="main" xml:lang="en">Higher Order Quantum Serre Relations</title><author xml:id="author-0000" corresp="yes"><persName><forename type="first">George</forename><surname>Lusztig</surname></persName><affiliation>Department of Mathematics, MIT, 02139, Cambridge, MA, USA</affiliation></author><idno type="istex">7F5A6FE108470128CD1C090E70CF195B98CFD339</idno><idno type="ark">ark:/67375/HCB-T1GN3VSV-7</idno><idno type="DOI">10.1007/978-0-8176-4717-9_7</idno><idno type="ChapterID">7</idno><idno type="ChapterID">b978-0-8176-4717-9_7</idno></analytic><monogr><title level="m">Introduction to Quantum Groups</title><idno type="DOI">10.1007/978-0-8176-4717-9</idno><idno type="pISBN">978-0-8176-4716-2</idno><idno type="eISBN">978-0-8176-4717-9</idno><idno type="book-title-id">40588</idno><idno type="book-id">978-0-8176-4717-9</idno><idno type="book-chapter-count">42</idno><idno type="book-sequence-number">10</idno><idno type="PartChapterCount">7</idno><imprint><publisher>Birkhäuser Boston</publisher><pubPlace>Boston</pubPlace><date type="published" when="2010-10-12"></date><biblScope unit="volume">2010</biblScope><biblScope unit="chap">Chapter 7</biblScope><biblScope unit="page" from="55">55</biblScope><biblScope unit="page" to="60">60</biblScope></imprint></monogr><series><title level="s">Modern Birkhäuser Classics</title><biblScope><date>2010</date></biblScope><idno type="series-id">7588</idno></series></biblStruct></sourceDesc></fileDesc><profileDesc><creation><date>2010</date></creation><langUsage><language ident="en">en</language></langUsage><abstract xml:lang="en"><p>Abstract: 7.1.1. In this chapter we assume that we are given i ≠ j in I and e = ±1. Given n, m ∈ Z, we set $${f_{i,j;n,m;e}} = \sum\limits_{r + s = m} {{{( - 1)}^r}{v_i}^{er( - \left\langle {i,j\prime} \right\rangle n - m + 1)}{\theta _i}^{(r)}{\theta _j}^{(n)}{\theta _i}^{(s)} \in {\rm{f}}} .$$</p></abstract><textClass><keywords scheme="Book-Subject-Collection"><list><label>SUCO11649</label><item><term>Mathematics and Statistics</term></item></list></keywords></textClass><textClass><keywords scheme="Book-Subject-Group"><list><label>SCM</label><label>SCM11078</label><label>SCP19080</label><label>SCM11132</label><label>SCM11000</label><label>SCP19013</label><item><term>Mathematics</term></item><item><term>Group Theory and Generalizations</term></item><item><term>Quantum Physics</term></item><item><term>Topological Groups, Lie Groups</term></item><item><term>Algebra</term></item><item><term>Mathematical Methods in Physics</term></item></list></keywords></textClass></profileDesc><revisionDesc><change when="2010-10-12">Published</change><change xml:id="refBibs-istex" who="#ISTEX-API" when="2017-11-28">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/7F5A6FE108470128CD1C090E70CF195B98CFD339/fulltext/txt</uri></json:item></fulltext><metadata><istex:metadataXml wicri:clean="corpus springer-ebooks 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>Birkhäuser Boston</PublisherName><PublisherLocation>Boston</PublisherLocation></PublisherInfo><Series><SeriesInfo SeriesType="Series" TocLevels="0"><SeriesID>7588</SeriesID><SeriesTitle Language="En">Modern Birkhäuser Classics</SeriesTitle><SeriesAbbreviatedTitle>Modern Birkhäuser Classics</SeriesAbbreviatedTitle></SeriesInfo><Book Language="En" OutputMedium="All"><BookInfo BookProductType="Graduate/advanced undergraduate textbook" ContainsESM="No" Language="En" MediaType="eBook" NumberingDepth="3" NumberingStyle="ChapterOnly" OutputMedium="All" TocLevels="0"><BookID>978-0-8176-4717-9</BookID><BookTitle>Introduction to Quantum Groups</BookTitle><BookSequenceNumber>10</BookSequenceNumber><BookDOI>10.1007/978-0-8176-4717-9</BookDOI><BookTitleID>40588</BookTitleID><BookPrintISBN>978-0-8176-4716-2</BookPrintISBN><BookElectronicISBN>978-0-8176-4717-9</BookElectronicISBN><BookChapterCount>42</BookChapterCount><BookCopyright><CopyrightHolderName>Springer Science+Business Media, LLC</CopyrightHolderName><CopyrightYear>2010</CopyrightYear></BookCopyright><BookSubjectGroup><BookSubject Code="SCM" Type="Primary">Mathematics</BookSubject><BookSubject Code="SCM11078" Priority="1" Type="Secondary">Group Theory and Generalizations</BookSubject><BookSubject Code="SCP19080" Priority="2" Type="Secondary">Quantum Physics</BookSubject><BookSubject Code="SCM11132" Priority="3" Type="Secondary">Topological Groups, Lie Groups</BookSubject><BookSubject Code="SCM11000" Priority="4" Type="Secondary">Algebra</BookSubject><BookSubject Code="SCP19013" Priority="5" Type="Secondary">Mathematical Methods in Physics</BookSubject><SubjectCollection Code="SUCO11649">Mathematics and Statistics</SubjectCollection></BookSubjectGroup><BookContext><SeriesID>7588</SeriesID></BookContext></BookInfo><BookHeader><AuthorGroup><Author AffiliationIDS="AffID1"><AuthorName DisplayOrder="Western"><GivenName>George</GivenName><FamilyName>Lusztig</FamilyName></AuthorName><Contact><Phone>6172534398</Phone><Fax>6172534358</Fax><Email>gyuri@math.mit.edu</Email></Contact></Author><Affiliation ID="AffID1"><OrgName>MIT</OrgName><OrgAddress><City>Cambridge</City><Postcode>02139</Postcode><State>Massachusetts</State><Country>USA</Country></OrgAddress></Affiliation></AuthorGroup></BookHeader><Part ID="Part1" OutputMedium="All"><PartInfo OutputMedium="All" TocLevels="0"><PartID>1</PartID><PartSequenceNumber>1</PartSequenceNumber><PartTitle>THE DRINFELD JIMBO ALGERBRA U</PartTitle><PartChapterCount>7</PartChapterCount><PartContext><SeriesID>7588</SeriesID><BookID>978-0-8176-4717-9</BookID><BookTitle>Introduction to Quantum Groups</BookTitle></PartContext></PartInfo><Chapter ID="b978-0-8176-4717-9_7" Language="En"><ChapterInfo ChapterType="OriginalPaper" ContainsESM="No" Language="En" NumberingDepth="3" NumberingStyle="ChapterContent" OutputMedium="All" TocLevels="0"><ChapterID>7</ChapterID><ChapterNumber>Chapter 7</ChapterNumber><ChapterDOI>10.1007/978-0-8176-4717-9_7</ChapterDOI><ChapterSequenceNumber>7</ChapterSequenceNumber><ChapterTitle Language="En">Higher Order Quantum Serre Relations</ChapterTitle><ChapterFirstPage>55</ChapterFirstPage><ChapterLastPage>60</ChapterLastPage><ChapterCopyright><CopyrightHolderName>Springer Science+Business Media, LLC</CopyrightHolderName><CopyrightYear>2010</CopyrightYear></ChapterCopyright><ChapterHistory><RegistrationDate><Year>2010</Year><Month>9</Month><Day>18</Day></RegistrationDate><OnlineDate><Year>2010</Year><Month>10</Month><Day>12</Day></OnlineDate></ChapterHistory><ChapterContext><SeriesID>7588</SeriesID><PartID>1</PartID><BookID>978-0-8176-4717-9</BookID><BookTitle>Introduction to Quantum Groups</BookTitle></ChapterContext></ChapterInfo><ChapterHeader><AuthorGroup><Author AffiliationIDS="Aff1_7" CorrespondingAffiliationID="Aff1_7"><AuthorName DisplayOrder="Western"><GivenName>George</GivenName><FamilyName>Lusztig</FamilyName></AuthorName></Author><Affiliation ID="Aff1_7"><OrgDivision>Department of Mathematics</OrgDivision><OrgName>MIT</OrgName><OrgAddress><City>Cambridge</City><State>MA</State><Postcode>02139</Postcode><Country>USA</Country></OrgAddress></Affiliation></AuthorGroup><Abstract ID="Abs1_7" Language="En" OutputMedium="Online"><Heading>Abstract</Heading><Para>7.1.1. In this chapter we assume that we are given <Emphasis Type="Italic">i ≠ j</Emphasis> in <Emphasis Type="Italic">I</Emphasis> and <Emphasis Type="Italic">e</Emphasis> = ±1. Given <Emphasis Type="Italic">n, m</Emphasis> ∈ Z, we set<Equation ID="Equ3"><MediaObject><ImageObject Color="BlackWhite" FileRef="40588_1_En_7_Chapter_Equ3.gif" Format="GIF" Rendition="HTML" Type="Linedraw"></ImageObject></MediaObject><EquationSource Format="TEX">$${f_{i,j;n,m;e}} = \sum\limits_{r + s = m} {{{( - 1)}^r}{v_i}^{er( - \left\langle {i,j\prime} \right\rangle n - m + 1)}{\theta _i}^{(r)}{\theta _j}^{(n)}{\theta _i}^{(s)} \in {\rm{f}}} .$$</EquationSource></Equation></Para></Abstract></ChapterHeader><NoBody></NoBody></Chapter></Part></Book></Series></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Higher Order Quantum Serre Relations</title></titleInfo><titleInfo type="alternative" contentType="CDATA" lang="en"><title>Higher Order Quantum Serre Relations</title></titleInfo><name type="personal" displayLabel="corresp"><namePart type="given">George</namePart><namePart type="family">Lusztig</namePart><affiliation>Department of Mathematics, MIT, 02139, Cambridge, MA, USA</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre displayLabel="OriginalPaper" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" type="research-article" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</genre><originInfo><publisher>Birkhäuser Boston</publisher><place><placeTerm type="text">Boston</placeTerm></place><dateIssued encoding="w3cdtf">2010-10-12</dateIssued><copyrightDate encoding="w3cdtf">2010</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><abstract lang="en">Abstract: 7.1.1. In this chapter we assume that we are given i ≠ j in I and e = ±1. Given n, m ∈ Z, we set $${f_{i,j;n,m;e}} = \sum\limits_{r + s = m} {{{( - 1)}^r}{v_i}^{er( - \left\langle {i,j\prime} \right\rangle n - m + 1)}{\theta _i}^{(r)}{\theta _j}^{(n)}{\theta _i}^{(s)} \in {\rm{f}}} .$$</abstract><relatedItem type="host"><titleInfo><title>Introduction to Quantum Groups</title></titleInfo><name type="personal"><namePart type="given">George</namePart><namePart type="family">Lusztig</namePart><affiliation>MIT, 02139, Cambridge, Massachusetts, USA</affiliation><affiliation>E-mail: gyuri@math.mit.edu</affiliation></name><genre type="book-series" displayLabel="Graduate/advanced undergraduate textbook" authority="ISTEX" authorityURI="https://publication-type.data.istex.fr" valueURI="https://publication-type.data.istex.fr/ark:/67375/JMC-0G6R5W5T-Z">book-series</genre><originInfo><publisher>Springer</publisher><copyrightDate encoding="w3cdtf">2010</copyrightDate><issuance>monographic</issuance></originInfo><subject><genre>Book-Subject-Collection</genre><topic authority="SpringerSubjectCodes" authorityURI="SUCO11649">Mathematics and Statistics</topic></subject><subject><genre>Book-Subject-Group</genre><topic authority="SpringerSubjectCodes" authorityURI="SCM">Mathematics</topic><topic authority="SpringerSubjectCodes" authorityURI="SCM11078">Group Theory and Generalizations</topic><topic authority="SpringerSubjectCodes" authorityURI="SCP19080">Quantum Physics</topic><topic authority="SpringerSubjectCodes" authorityURI="SCM11132">Topological Groups, Lie Groups</topic><topic authority="SpringerSubjectCodes" authorityURI="SCM11000">Algebra</topic><topic authority="SpringerSubjectCodes" authorityURI="SCP19013">Mathematical Methods in Physics</topic></subject><identifier type="DOI">10.1007/978-0-8176-4717-9</identifier><identifier type="ISBN">978-0-8176-4716-2</identifier><identifier type="eISBN">978-0-8176-4717-9</identifier><identifier type="BookTitleID">40588</identifier><identifier type="BookID">978-0-8176-4717-9</identifier><identifier type="BookChapterCount">42</identifier><identifier type="BookSequenceNumber">10</identifier><identifier type="PartChapterCount">7</identifier><part><date>2010</date><detail type="part"><title>THE DRINFELD JIMBO ALGERBRA U</title></detail><detail type="volume"><number>2010</number><caption>vol.</caption></detail><detail type="chapter"><number>Chapter 7</number></detail><extent unit="pages"><start>55</start><end>60</end></extent></part><recordInfo><recordOrigin>Springer Science+Business Media, LLC, 2010</recordOrigin></recordInfo></relatedItem><relatedItem type="series"><titleInfo><title>Modern Birkhäuser Classics</title></titleInfo><originInfo><publisher>Springer</publisher><copyrightDate encoding="w3cdtf">2010</copyrightDate><issuance>serial</issuance></originInfo><identifier type="SeriesID">7588</identifier><part><detail type="chapter"><number>Chapter 7</number></detail></part><recordInfo><recordOrigin>Springer Science+Business Media, LLC, 2010</recordOrigin></recordInfo></relatedItem><identifier type="istex">7F5A6FE108470128CD1C090E70CF195B98CFD339</identifier><identifier type="ark">ark:/67375/HCB-T1GN3VSV-7</identifier><identifier type="DOI">10.1007/978-0-8176-4717-9_7</identifier><identifier type="ChapterID">7</identifier><identifier type="ChapterID">b978-0-8176-4717-9_7</identifier><accessCondition type="use and reproduction" contentType="copyright">Springer Science+Business Media, LLC, 2010</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 Science+Business Media, LLC, 2010</recordOrigin></recordInfo></mods><json:item><extension>json</extension><original>false</original><mimetype>application/json</mimetype><uri>https://api.istex.fr/document/7F5A6FE108470128CD1C090E70CF195B98CFD339/metadata/json</uri></json:item></metadata><annexes><json:item><extension>txt</extension><original>true</original><mimetype>text/plain</mimetype><uri>https://api.istex.fr/document/7F5A6FE108470128CD1C090E70CF195B98CFD339/annexes/txt</uri></json:item></annexes></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 001A16 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Istex/Corpus/biblio.hfd -nk 001A16 | 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:7F5A6FE108470128CD1C090E70CF195B98CFD339
|texte= Higher Order Quantum Serre Relations
}}
| This area was generated with Dilib version V0.6.33. |  |