Loading…

Quantum Langlands duality of representations of -algebras

We prove duality isomorphisms of certain representations of ${\mathcal{W}}$ -algebras which play an essential role in the quantum geometric Langlands program and some related results.

Saved in:
Bibliographic Details
Published in:Compositio mathematica 2019-12, Vol.155 (12), p.2235-2262, Article 2235
Main Authors: Arakawa, Tomoyuki, Frenkel, Edward
Format: Article
Language:English
Subjects:
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c2761-e71273e4a4a8515e41acc505e7cd206139953761e3a0e1b89e70547b635ad7c63
cites cdi_FETCH-LOGICAL-c2761-e71273e4a4a8515e41acc505e7cd206139953761e3a0e1b89e70547b635ad7c63
container_end_page 2262
container_issue 12
container_start_page 2235
container_title Compositio mathematica
container_volume 155
creator Arakawa, Tomoyuki
Frenkel, Edward
description We prove duality isomorphisms of certain representations of ${\mathcal{W}}$ -algebras which play an essential role in the quantum geometric Langlands program and some related results.
doi_str_mv 10.1112/s0010437x19007553
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2352688531</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2352688531</sourcerecordid><originalsourceid>FETCH-LOGICAL-c2761-e71273e4a4a8515e41acc505e7cd206139953761e3a0e1b89e70547b635ad7c63</originalsourceid><addsrcrecordid>eNplkEFLw0AQhRdRsFZ_gLeA5-jMbja7OUpRKxREVOgtTDeTkpImcTcB--9NafWgp4F5783wPiGuEW4RUd4FAIREmS_MAIzW6kRMUBuItU3SUzHZy_GoL8_FRQgbAJBW2onIXgdq-mEbLahZ19QUISoGqqt-F7Vl5LnzHLjpqa_aJuxXMdVrXnkKl-KspDrw1XFOxcfjw_tsHi9enp5n94vYSZNizAalUZxQQlaj5gTJOQ2ajSskpKiyTKvRyIqAcWUzNqATs0qVpsK4VE3FzeFu59vPgUOfb9rBN-PLXCotU2u1wtGFB5fzbQiey7zz1Zb8LkfI94TytyOh5Q-hMWP-ZFx1aNp7qurf5D-26htFTmif</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2352688531</pqid></control><display><type>article</type><title>Quantum Langlands duality of representations of -algebras</title><source>Cambridge Journals Online</source><creator>Arakawa, Tomoyuki ; Frenkel, Edward</creator><creatorcontrib>Arakawa, Tomoyuki ; Frenkel, Edward</creatorcontrib><description>We prove duality isomorphisms of certain representations of ${\mathcal{W}}$ -algebras which play an essential role in the quantum geometric Langlands program and some related results.</description><identifier>ISSN: 0010-437X</identifier><identifier>EISSN: 1570-5846</identifier><identifier>DOI: 10.1112/s0010437x19007553</identifier><language>eng</language><publisher>London: Cambridge University Press</publisher><subject>Isomorphism ; Representations</subject><ispartof>Compositio mathematica, 2019-12, Vol.155 (12), p.2235-2262, Article 2235</ispartof><rights>The Authors 2019</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2761-e71273e4a4a8515e41acc505e7cd206139953761e3a0e1b89e70547b635ad7c63</citedby><cites>FETCH-LOGICAL-c2761-e71273e4a4a8515e41acc505e7cd206139953761e3a0e1b89e70547b635ad7c63</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27923,27924</link.rule.ids></links><search><creatorcontrib>Arakawa, Tomoyuki</creatorcontrib><creatorcontrib>Frenkel, Edward</creatorcontrib><title>Quantum Langlands duality of representations of -algebras</title><title>Compositio mathematica</title><description>We prove duality isomorphisms of certain representations of ${\mathcal{W}}$ -algebras which play an essential role in the quantum geometric Langlands program and some related results.</description><subject>Isomorphism</subject><subject>Representations</subject><issn>0010-437X</issn><issn>1570-5846</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNplkEFLw0AQhRdRsFZ_gLeA5-jMbja7OUpRKxREVOgtTDeTkpImcTcB--9NafWgp4F5783wPiGuEW4RUd4FAIREmS_MAIzW6kRMUBuItU3SUzHZy_GoL8_FRQgbAJBW2onIXgdq-mEbLahZ19QUISoGqqt-F7Vl5LnzHLjpqa_aJuxXMdVrXnkKl-KspDrw1XFOxcfjw_tsHi9enp5n94vYSZNizAalUZxQQlaj5gTJOQ2ajSskpKiyTKvRyIqAcWUzNqATs0qVpsK4VE3FzeFu59vPgUOfb9rBN-PLXCotU2u1wtGFB5fzbQiey7zz1Zb8LkfI94TytyOh5Q-hMWP-ZFx1aNp7qurf5D-26htFTmif</recordid><startdate>20191201</startdate><enddate>20191201</enddate><creator>Arakawa, Tomoyuki</creator><creator>Frenkel, Edward</creator><general>Cambridge University Press</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7XB</scope><scope>88I</scope><scope>8AL</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0N</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PADUT</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>Q9U</scope></search><sort><creationdate>20191201</creationdate><title>Quantum Langlands duality of representations of -algebras</title><author>Arakawa, Tomoyuki ; Frenkel, Edward</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2761-e71273e4a4a8515e41acc505e7cd206139953761e3a0e1b89e70547b635ad7c63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Isomorphism</topic><topic>Representations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Arakawa, Tomoyuki</creatorcontrib><creatorcontrib>Frenkel, Edward</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>Computing Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>Advanced Technologies &amp; Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Computing Database</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies &amp; Aerospace Database</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>Research Library China</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><jtitle>Compositio mathematica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Arakawa, Tomoyuki</au><au>Frenkel, Edward</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quantum Langlands duality of representations of -algebras</atitle><jtitle>Compositio mathematica</jtitle><date>2019-12-01</date><risdate>2019</risdate><volume>155</volume><issue>12</issue><spage>2235</spage><epage>2262</epage><pages>2235-2262</pages><artnum>2235</artnum><issn>0010-437X</issn><eissn>1570-5846</eissn><abstract>We prove duality isomorphisms of certain representations of ${\mathcal{W}}$ -algebras which play an essential role in the quantum geometric Langlands program and some related results.</abstract><cop>London</cop><pub>Cambridge University Press</pub><doi>10.1112/s0010437x19007553</doi><tpages>28</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0010-437X
ispartof Compositio mathematica, 2019-12, Vol.155 (12), p.2235-2262, Article 2235
issn 0010-437X
1570-5846
language eng
recordid cdi_proquest_journals_2352688531
source Cambridge Journals Online
subjects Isomorphism
Representations
title Quantum Langlands duality of representations of -algebras
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-08T16%3A54%3A03IST&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=Quantum%20Langlands%20duality%20of%20representations%20of%20-algebras&rft.jtitle=Compositio%20mathematica&rft.au=Arakawa,%20Tomoyuki&rft.date=2019-12-01&rft.volume=155&rft.issue=12&rft.spage=2235&rft.epage=2262&rft.pages=2235-2262&rft.artnum=2235&rft.issn=0010-437X&rft.eissn=1570-5846&rft_id=info:doi/10.1112/s0010437x19007553&rft_dat=%3Cproquest_cross%3E2352688531%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c2761-e71273e4a4a8515e41acc505e7cd206139953761e3a0e1b89e70547b635ad7c63%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2352688531&rft_id=info:pmid/&rfr_iscdi=true