Whittaker modules over Virasoro-like algebra

In this paper, we study Whittaker modules over Virasoro-like algebra relative to some total order. We determine all Whittaker vectors and the irreducibilities of the universal Whittaker modules. For the reducible ones, we determine their unique maximal submodules, and the corresponding irreducible q...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical physics 2011-09, Vol.52 (9), p.093504-093504-9
Main Authors: Guo, Xiangqian, Liu, Xuewen
Format: Article
Language:English
Subjects:
Algebra
Exact sciences and technology
Lie groups
Mathematical methods in physics
Mathematics
Physics
Sciences and techniques of general use
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-c411t-96d6fde033616a6d3ce64ab3108377ccde450b526b1864c80518e4cb6575c2163
cites cdi_FETCH-LOGICAL-c411t-96d6fde033616a6d3ce64ab3108377ccde450b526b1864c80518e4cb6575c2163
container_end_page 093504-9
container_issue 9
container_start_page 093504
container_title Journal of mathematical physics
container_volume 52
creator Guo, Xiangqian
Liu, Xuewen
description In this paper, we study Whittaker modules over Virasoro-like algebra relative to some total order. We determine all Whittaker vectors and the irreducibilities of the universal Whittaker modules. For the reducible ones, we determine their unique maximal submodules, and the corresponding irreducible quotient modules are just those modules constructed by Batra et al. [J. Algebra 322(12), 4163–4180 (2009)]. Using their results we can deduce more properties on the maximal submodules and irreducible modules.
doi_str_mv 10.1063/1.3641245
format article
fullrecord <record><control><sourceid>proquest_pasca</sourceid><recordid>TN_cdi_pascalfrancis_primary_24611358</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2479298001</sourcerecordid><originalsourceid>FETCH-LOGICAL-c411t-96d6fde033616a6d3ce64ab3108377ccde450b526b1864c80518e4cb6575c2163</originalsourceid><addsrcrecordid>eNqNkMtKAzEUQIMoWKsL_6AILhSn5uZxJ90IUnxBwY2PZchkMjrttKnJtODfG-lQV4qrcOHcc8Mh5BjoECjySxhyFMCE3CE9oGqU5SjVLulRyljGhFL75CDGKaUASogeuXh9r9vWzFwYzH25alwc-HUaXupgog8-a-qZG5jmzRXBHJK9yjTRHXVvnzzf3jyN77PJ493D-HqSWQHQZiMssSod5RwBDZbcOhSm4Ok_PM-tLZ2QtJAMC1AorKISlBO2QJlLywB5n5xsvMvgP1YutnrqV2GRTmo1wpxSpSBBZxvIBh9jcJVehnpuwqcGqr9baNBdi8SedkITrWmqYBa2jtsFJhCAS5W4qw0Xbd2atvaL36XbcLoLp_06Cc7_LfgLXvvwA-plWfEv0ZiNZA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>896700881</pqid></control><display><type>article</type><title>Whittaker modules over Virasoro-like algebra</title><source>American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list)</source><source>American Institute of Physics</source><creator>Guo, Xiangqian ; Liu, Xuewen</creator><creatorcontrib>Guo, Xiangqian ; Liu, Xuewen</creatorcontrib><description>In this paper, we study Whittaker modules over Virasoro-like algebra relative to some total order. We determine all Whittaker vectors and the irreducibilities of the universal Whittaker modules. For the reducible ones, we determine their unique maximal submodules, and the corresponding irreducible quotient modules are just those modules constructed by Batra et al. [J. Algebra 322(12), 4163–4180 (2009)]. Using their results we can deduce more properties on the maximal submodules and irreducible modules.</description><identifier>ISSN: 0022-2488</identifier><identifier>EISSN: 1089-7658</identifier><identifier>DOI: 10.1063/1.3641245</identifier><identifier>CODEN: JMAPAQ</identifier><language>eng</language><publisher>Melville, NY: American Institute of Physics</publisher><subject>Algebra ; Exact sciences and technology ; Lie groups ; Mathematical methods in physics ; Mathematics ; Physics ; Sciences and techniques of general use</subject><ispartof>Journal of mathematical physics, 2011-09, Vol.52 (9), p.093504-093504-9</ispartof><rights>American Institute of Physics</rights><rights>2011 American Institute of Physics</rights><rights>2015 INIST-CNRS</rights><rights>Copyright American Institute of Physics Sep 2011</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c411t-96d6fde033616a6d3ce64ab3108377ccde450b526b1864c80518e4cb6575c2163</citedby><cites>FETCH-LOGICAL-c411t-96d6fde033616a6d3ce64ab3108377ccde450b526b1864c80518e4cb6575c2163</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/jmp/article-lookup/doi/10.1063/1.3641245$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>314,780,782,784,795,27924,27925,76255</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=24611358$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Guo, Xiangqian</creatorcontrib><creatorcontrib>Liu, Xuewen</creatorcontrib><title>Whittaker modules over Virasoro-like algebra</title><title>Journal of mathematical physics</title><description>In this paper, we study Whittaker modules over Virasoro-like algebra relative to some total order. We determine all Whittaker vectors and the irreducibilities of the universal Whittaker modules. For the reducible ones, we determine their unique maximal submodules, and the corresponding irreducible quotient modules are just those modules constructed by Batra et al. [J. Algebra 322(12), 4163–4180 (2009)]. Using their results we can deduce more properties on the maximal submodules and irreducible modules.</description><subject>Algebra</subject><subject>Exact sciences and technology</subject><subject>Lie groups</subject><subject>Mathematical methods in physics</subject><subject>Mathematics</subject><subject>Physics</subject><subject>Sciences and techniques of general use</subject><issn>0022-2488</issn><issn>1089-7658</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqNkMtKAzEUQIMoWKsL_6AILhSn5uZxJ90IUnxBwY2PZchkMjrttKnJtODfG-lQV4qrcOHcc8Mh5BjoECjySxhyFMCE3CE9oGqU5SjVLulRyljGhFL75CDGKaUASogeuXh9r9vWzFwYzH25alwc-HUaXupgog8-a-qZG5jmzRXBHJK9yjTRHXVvnzzf3jyN77PJ493D-HqSWQHQZiMssSod5RwBDZbcOhSm4Ok_PM-tLZ2QtJAMC1AorKISlBO2QJlLywB5n5xsvMvgP1YutnrqV2GRTmo1wpxSpSBBZxvIBh9jcJVehnpuwqcGqr9baNBdi8SedkITrWmqYBa2jtsFJhCAS5W4qw0Xbd2atvaL36XbcLoLp_06Cc7_LfgLXvvwA-plWfEv0ZiNZA</recordid><startdate>20110901</startdate><enddate>20110901</enddate><creator>Guo, Xiangqian</creator><creator>Liu, Xuewen</creator><general>American Institute of Physics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope></search><sort><creationdate>20110901</creationdate><title>Whittaker modules over Virasoro-like algebra</title><author>Guo, Xiangqian ; Liu, Xuewen</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c411t-96d6fde033616a6d3ce64ab3108377ccde450b526b1864c80518e4cb6575c2163</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Algebra</topic><topic>Exact sciences and technology</topic><topic>Lie groups</topic><topic>Mathematical methods in physics</topic><topic>Mathematics</topic><topic>Physics</topic><topic>Sciences and techniques of general use</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Guo, Xiangqian</creatorcontrib><creatorcontrib>Liu, Xuewen</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Guo, Xiangqian</au><au>Liu, Xuewen</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Whittaker modules over Virasoro-like algebra</atitle><jtitle>Journal of mathematical physics</jtitle><date>2011-09-01</date><risdate>2011</risdate><volume>52</volume><issue>9</issue><spage>093504</spage><epage>093504-9</epage><pages>093504-093504-9</pages><issn>0022-2488</issn><eissn>1089-7658</eissn><coden>JMAPAQ</coden><abstract>In this paper, we study Whittaker modules over Virasoro-like algebra relative to some total order. We determine all Whittaker vectors and the irreducibilities of the universal Whittaker modules. For the reducible ones, we determine their unique maximal submodules, and the corresponding irreducible quotient modules are just those modules constructed by Batra et al. [J. Algebra 322(12), 4163–4180 (2009)]. Using their results we can deduce more properties on the maximal submodules and irreducible modules.</abstract><cop>Melville, NY</cop><pub>American Institute of Physics</pub><doi>10.1063/1.3641245</doi><tpages>9</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0022-2488
ispartof Journal of mathematical physics, 2011-09, Vol.52 (9), p.093504-093504-9
issn 0022-2488
1089-7658
language eng
recordid cdi_pascalfrancis_primary_24611358
source American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list); American Institute of Physics
subjects Algebra
Exact sciences and technology
Lie groups
Mathematical methods in physics
Mathematics
Physics
Sciences and techniques of general use
title Whittaker modules over Virasoro-like algebra
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-07T20%3A27%3A00IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_pasca&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Whittaker%20modules%20over%20Virasoro-like%20algebra&rft.jtitle=Journal%20of%20mathematical%20physics&rft.au=Guo,%20Xiangqian&rft.date=2011-09-01&rft.volume=52&rft.issue=9&rft.spage=093504&rft.epage=093504-9&rft.pages=093504-093504-9&rft.issn=0022-2488&rft.eissn=1089-7658&rft.coden=JMAPAQ&rft_id=info:doi/10.1063/1.3641245&rft_dat=%3Cproquest_pasca%3E2479298001%3C/proquest_pasca%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c411t-96d6fde033616a6d3ce64ab3108377ccde450b526b1864c80518e4cb6575c2163%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=896700881&rft_id=info:pmid/&rfr_iscdi=true