The planar algebra associated to a Kac algebra

The planar algebra associated to a Kac algebra

We obtain (two equivalent) presentations — in terms of generators and relations — of the planar algebra associated with the subfactor corresponding to (an outer action on a factor by) a finite-dimensional Kac algebra. One of the relations shows that the antipode of the Kac algebra agrees with the ‘r...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the Indian Academy of Sciences. Mathematical sciences 2003-02, Vol.113 (1), p.15-51
Hauptverfasser: Kodiyalam, Vijay, Landau, Zeph, Sunder, V. S.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 51
container_issue 1
container_start_page 15
container_title Proceedings of the Indian Academy of Sciences. Mathematical sciences
container_volume 113
creator Kodiyalam, Vijay
Landau, Zeph
Sunder, V. S.
description We obtain (two equivalent) presentations — in terms of generators and relations — of the planar algebra associated with the subfactor corresponding to (an outer action on a factor by) a finite-dimensional Kac algebra. One of the relations shows that the antipode of the Kac algebra agrees with the ‘rotation on 2-boxes’.
doi_str_mv 10.1007/BF02829677
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2786917936</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2786917936</sourcerecordid><originalsourceid>FETCH-LOGICAL-c300t-434b81a3edec247481efa717f525bdc192e9ce111daddd8e4589ae82f0e636223</originalsourceid><addsrcrecordid>eNpFkE9LAzEUxIMoWKsXP0HAm7A1L8nmz1GLVbHgpZ7D2-StttTummwPfntXqniagfkxA8PYJYgZCGFv7hZCOumNtUdsIrxVlTWuPh69rFWlQctTdlbKRgjwWpkJm63eifdb3GHmuH2jJiPHUrq4xoESHzqO_BnjX3bOTlrcFrr41Sl7Xdyv5o_V8uXhaX67rKISYqi00o0DVJQoSm21A2rRgm1rWTcpgpfkIwFAwpSSI107j-RkK8goI6WasqtDb5-7zz2VIWy6fd6Nk0FaZzxYr8xIXR-omLtSMrWhz-sPzF8BRPj5I_z_ob4BVMNQFQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2786917936</pqid></control><display><type>article</type><title>The planar algebra associated to a Kac algebra</title><source>Indian Academy of Sciences</source><source>Springer Nature - Complete Springer Journals</source><source>EZB-FREE-00999 freely available EZB journals</source><creator>Kodiyalam, Vijay ; Landau, Zeph ; Sunder, V. S.</creator><creatorcontrib>Kodiyalam, Vijay ; Landau, Zeph ; Sunder, V. S.</creatorcontrib><description>We obtain (two equivalent) presentations — in terms of generators and relations — of the planar algebra associated with the subfactor corresponding to (an outer action on a factor by) a finite-dimensional Kac algebra. One of the relations shows that the antipode of the Kac algebra agrees with the ‘rotation on 2-boxes’.</description><identifier>ISSN: 0253-4142</identifier><identifier>EISSN: 0973-7685</identifier><identifier>DOI: 10.1007/BF02829677</identifier><language>eng</language><publisher>Dordrecht: Springer Nature B.V</publisher><subject>Algebra</subject><ispartof>Proceedings of the Indian Academy of Sciences. Mathematical sciences, 2003-02, Vol.113 (1), p.15-51</ispartof><rights>Indian Academy of Sciences 2003.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c300t-434b81a3edec247481efa717f525bdc192e9ce111daddd8e4589ae82f0e636223</citedby><cites>FETCH-LOGICAL-c300t-434b81a3edec247481efa717f525bdc192e9ce111daddd8e4589ae82f0e636223</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Kodiyalam, Vijay</creatorcontrib><creatorcontrib>Landau, Zeph</creatorcontrib><creatorcontrib>Sunder, V. S.</creatorcontrib><title>The planar algebra associated to a Kac algebra</title><title>Proceedings of the Indian Academy of Sciences. Mathematical sciences</title><description>We obtain (two equivalent) presentations — in terms of generators and relations — of the planar algebra associated with the subfactor corresponding to (an outer action on a factor by) a finite-dimensional Kac algebra. One of the relations shows that the antipode of the Kac algebra agrees with the ‘rotation on 2-boxes’.</description><subject>Algebra</subject><issn>0253-4142</issn><issn>0973-7685</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><recordid>eNpFkE9LAzEUxIMoWKsXP0HAm7A1L8nmz1GLVbHgpZ7D2-StttTummwPfntXqniagfkxA8PYJYgZCGFv7hZCOumNtUdsIrxVlTWuPh69rFWlQctTdlbKRgjwWpkJm63eifdb3GHmuH2jJiPHUrq4xoESHzqO_BnjX3bOTlrcFrr41Sl7Xdyv5o_V8uXhaX67rKISYqi00o0DVJQoSm21A2rRgm1rWTcpgpfkIwFAwpSSI107j-RkK8goI6WasqtDb5-7zz2VIWy6fd6Nk0FaZzxYr8xIXR-omLtSMrWhz-sPzF8BRPj5I_z_ob4BVMNQFQ</recordid><startdate>20030201</startdate><enddate>20030201</enddate><creator>Kodiyalam, Vijay</creator><creator>Landau, Zeph</creator><creator>Sunder, V. S.</creator><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20030201</creationdate><title>The planar algebra associated to a Kac algebra</title><author>Kodiyalam, Vijay ; Landau, Zeph ; Sunder, V. S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c300t-434b81a3edec247481efa717f525bdc192e9ce111daddd8e4589ae82f0e636223</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Algebra</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kodiyalam, Vijay</creatorcontrib><creatorcontrib>Landau, Zeph</creatorcontrib><creatorcontrib>Sunder, V. S.</creatorcontrib><collection>CrossRef</collection><jtitle>Proceedings of the Indian Academy of Sciences. Mathematical sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kodiyalam, Vijay</au><au>Landau, Zeph</au><au>Sunder, V. S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The planar algebra associated to a Kac algebra</atitle><jtitle>Proceedings of the Indian Academy of Sciences. Mathematical sciences</jtitle><date>2003-02-01</date><risdate>2003</risdate><volume>113</volume><issue>1</issue><spage>15</spage><epage>51</epage><pages>15-51</pages><issn>0253-4142</issn><eissn>0973-7685</eissn><abstract>We obtain (two equivalent) presentations — in terms of generators and relations — of the planar algebra associated with the subfactor corresponding to (an outer action on a factor by) a finite-dimensional Kac algebra. One of the relations shows that the antipode of the Kac algebra agrees with the ‘rotation on 2-boxes’.</abstract><cop>Dordrecht</cop><pub>Springer Nature B.V</pub><doi>10.1007/BF02829677</doi><tpages>37</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0253-4142
ispartof Proceedings of the Indian Academy of Sciences. Mathematical sciences, 2003-02, Vol.113 (1), p.15-51
issn 0253-4142
0973-7685
language eng
recordid cdi_proquest_journals_2786917936
source Indian Academy of Sciences; Springer Nature - Complete Springer Journals; EZB-FREE-00999 freely available EZB journals
subjects Algebra
title The planar algebra associated to a Kac algebra
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-01T17%3A48%3A53IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=The%20planar%20algebra%20associated%20to%20a%20Kac%20algebra&rft.jtitle=Proceedings%20of%20the%20Indian%20Academy%20of%20Sciences.%20Mathematical%20sciences&rft.au=Kodiyalam,%20Vijay&rft.date=2003-02-01&rft.volume=113&rft.issue=1&rft.spage=15&rft.epage=51&rft.pages=15-51&rft.issn=0253-4142&rft.eissn=0973-7685&rft_id=info:doi/10.1007/BF02829677&rft_dat=%3Cproquest_cross%3E2786917936%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2786917936&rft_id=info:pmid/&rfr_iscdi=true