Verma-type Modules for Quantum Affine Lie Algebras

Verma-type Modules for Quantum Affine Lie Algebras

Let g be an untwisted affine Kac-Moody algebra and M_J(lambda) a Verma-type module for g with J-highest integral weight lambda. We construct quantum Verma-type modules M_J^q(lambda) over the quantum group U_q(g), investigate their properties and show that M_J^q(lambda) is a true quantum deformation...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2000-10
Hauptverfasser: Futorny, Vyacheslav M, Melville, Duncan J, Grishkov, Alexander N
Format: Artikel
Sprache:eng
Schlagworte:
Deformation analysis
Lie groups
Modules
Weight
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Futorny, Vyacheslav M
Melville, Duncan J
Grishkov, Alexander N
description Let g be an untwisted affine Kac-Moody algebra and M_J(lambda) a Verma-type module for g with J-highest integral weight lambda. We construct quantum Verma-type modules M_J^q(lambda) over the quantum group U_q(g), investigate their properties and show that M_J^q(lambda) is a true quantum deformation of M_J(\l) in the sense that the weight structure is preserved under the deformation. We also analyze the submodule structure of quantum Verma-type modules.
format Article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2092058682</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2092058682</sourcerecordid><originalsourceid>FETCH-proquest_journals_20920586823</originalsourceid><addsrcrecordid>eNpjYuA0MjY21LUwMTLiYOAtLs4yMDAwMjM3MjU15mQwCkstyk3ULaksSFXwzU8pzUktVkjLL1IILE3MKynNVXBMS8vMS1XwyUxVcMxJT00qSizmYWBNS8wpTuWF0twMym6uIc4eugVF-YWlqcUl8Vn5pUV5QKl4IwNLIwNTCzMLI2PiVAEAn5AzRA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2092058682</pqid></control><display><type>article</type><title>Verma-type Modules for Quantum Affine Lie Algebras</title><source>Free E- Journals</source><creator>Futorny, Vyacheslav M ; Melville, Duncan J ; Grishkov, Alexander N</creator><creatorcontrib>Futorny, Vyacheslav M ; Melville, Duncan J ; Grishkov, Alexander N</creatorcontrib><description>Let g be an untwisted affine Kac-Moody algebra and M_J(lambda) a Verma-type module for g with J-highest integral weight lambda. We construct quantum Verma-type modules M_J^q(lambda) over the quantum group U_q(g), investigate their properties and show that M_J^q(lambda) is a true quantum deformation of M_J(\l) in the sense that the weight structure is preserved under the deformation. We also analyze the submodule structure of quantum Verma-type modules.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Deformation analysis ; Lie groups ; Modules ; Weight</subject><ispartof>arXiv.org, 2000-10</ispartof><rights>2000. This work is published under https://arxiv.org/licenses/assumed-1991-2003/license.html (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>776,780</link.rule.ids></links><search><creatorcontrib>Futorny, Vyacheslav M</creatorcontrib><creatorcontrib>Melville, Duncan J</creatorcontrib><creatorcontrib>Grishkov, Alexander N</creatorcontrib><title>Verma-type Modules for Quantum Affine Lie Algebras</title><title>arXiv.org</title><description>Let g be an untwisted affine Kac-Moody algebra and M_J(lambda) a Verma-type module for g with J-highest integral weight lambda. We construct quantum Verma-type modules M_J^q(lambda) over the quantum group U_q(g), investigate their properties and show that M_J^q(lambda) is a true quantum deformation of M_J(\l) in the sense that the weight structure is preserved under the deformation. We also analyze the submodule structure of quantum Verma-type modules.</description><subject>Deformation analysis</subject><subject>Lie groups</subject><subject>Modules</subject><subject>Weight</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2000</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNpjYuA0MjY21LUwMTLiYOAtLs4yMDAwMjM3MjU15mQwCkstyk3ULaksSFXwzU8pzUktVkjLL1IILE3MKynNVXBMS8vMS1XwyUxVcMxJT00qSizmYWBNS8wpTuWF0twMym6uIc4eugVF-YWlqcUl8Vn5pUV5QKl4IwNLIwNTCzMLI2PiVAEAn5AzRA</recordid><startdate>20001031</startdate><enddate>20001031</enddate><creator>Futorny, Vyacheslav M</creator><creator>Melville, Duncan J</creator><creator>Grishkov, Alexander N</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20001031</creationdate><title>Verma-type Modules for Quantum Affine Lie Algebras</title><author>Futorny, Vyacheslav M ; Melville, Duncan J ; Grishkov, Alexander N</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_20920586823</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2000</creationdate><topic>Deformation analysis</topic><topic>Lie groups</topic><topic>Modules</topic><topic>Weight</topic><toplevel>online_resources</toplevel><creatorcontrib>Futorny, Vyacheslav M</creatorcontrib><creatorcontrib>Melville, Duncan J</creatorcontrib><creatorcontrib>Grishkov, Alexander N</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</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>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Futorny, Vyacheslav M</au><au>Melville, Duncan J</au><au>Grishkov, Alexander N</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>Verma-type Modules for Quantum Affine Lie Algebras</atitle><jtitle>arXiv.org</jtitle><date>2000-10-31</date><risdate>2000</risdate><eissn>2331-8422</eissn><abstract>Let g be an untwisted affine Kac-Moody algebra and M_J(lambda) a Verma-type module for g with J-highest integral weight lambda. We construct quantum Verma-type modules M_J^q(lambda) over the quantum group U_q(g), investigate their properties and show that M_J^q(lambda) is a true quantum deformation of M_J(\l) in the sense that the weight structure is preserved under the deformation. We also analyze the submodule structure of quantum Verma-type modules.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2000-10
issn 2331-8422
language eng
recordid cdi_proquest_journals_2092058682
source Free E- Journals
subjects Deformation analysis
Lie groups
Modules
Weight
title Verma-type Modules for Quantum Affine Lie Algebras
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-21T23%3A43%3A18IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=Verma-type%20Modules%20for%20Quantum%20Affine%20Lie%20Algebras&rft.jtitle=arXiv.org&rft.au=Futorny,%20Vyacheslav%20M&rft.date=2000-10-31&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E2092058682%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2092058682&rft_id=info:pmid/&rfr_iscdi=true